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111022121120112 = 24335031481344987
BaseRepresentation
bin11001001111100101011010…
…000101110111000101110000
3112120002121111111202112122000
4121033211122011313011300
5104022441301001320422
61032042505222414000
732246040441632256
oct3117453205670560
9476077444675560
10111022121120112
1132414243039034
12105509b7891300
1349c4458518987
141d5b6dc2565d6
15cc7e1802ecac
hex64f95a177170

111022121120112 has 160 divisors (see below), whose sum is σ = 319524684111360. Its totient is φ = 36908754992640.

The previous prime is 111022121120093. The next prime is 111022121120123. The reversal of 111022121120112 is 211021121220111.

It is a happy number.

111022121120112 is a `hidden beast` number, since 11 + 10 + 221 + 211 + 201 + 12 = 666.

It is a super-2 number, since 2×1110221211201122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321642883 + ... + 321987869.

It is an arithmetic number, because the mean of its divisors is an integer number (1997029275696).

Almost surely, 2111022121120112 is an apocalyptic number.

111022121120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022121120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159762342055680).

111022121120112 is an abundant number, since it is smaller than the sum of its proper divisors (208502562991248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111022121120112 is a wasteful number, since it uses less digits than its factorization.

111022121120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346988 (or 346976 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111022121120112 its reverse (211021121220111), we get a palindrome (322043242340223).

Subtracting 111022121120112 from its reverse (211021121220111), we obtain a palindrome (99999000099999).

The spelling of 111022121120112 in words is "one hundred eleven trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 503 1006 1481 1509 2012 2962 3018 4024 4443 4527 5924 6036 8048 8886 9054 11848 12072 13329 13581 17772 18108 23696 24144 26658 27162 35544 36216 39987 53316 54324 71088 72432 79974 106632 108648 159948 213264 217296 319896 344987 639792 689974 744943 1034961 1379948 1489886 2069922 2234829 2759896 2979772 3104883 4139844 4469658 5519792 5959544 6209766 6704487 8279688 8939316 9314649 11919088 12419532 13408974 16559376 17878632 18629298 20113461 24839064 26817948 35757264 37258596 40226922 49678128 53635896 74517192 80453844 107271792 149034384 160907688 173528461 321815376 347056922 510925747 520585383 694113844 1021851494 1041170766 1388227688 1532777241 1561756149 2043702988 2082341532 2776455376 3065554482 3123512298 4087405976 4164683064 4598331723 4685268447 6131108964 6247024596 8174811952 8329366128 9196663446 9370536894 12262217928 12494049192 13794995169 18393326892 18741073788 24524435856 24988098384 27589990338 36786653784 37482147576 55179980676 73573307568 74964295152 110359961352 220719922704 256995650741 513991301482 770986952223 1027982602964 1541973904446 2055965205928 2312960856669 3083947808892 4111930411856 4625921713338 6167895617784 6938882570007 9251843426676 12335791235568 13877765140014 18503686853352 27755530280028 37007373706704 55511060560056 111022121120112