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110000021111112 = 233111017877523729
BaseRepresentation
bin11001000000101101100000…
…001011110000000101001000
3112102110220021121021100010010
4121000231200023300011020
5103404220020401023422
61025541151224151520
732112145032124146
oct3100554013600510
9472426247240103
10110000021111112
113205a82424a2a0
12104068a86085a0
13494bc5a783542
141d2405aa78596
15cab5464d2b0c
hex640b602f0148

110000021111112 has 128 divisors (see below), whose sum is σ = 303009396393600. Its totient is φ = 32999053824000.

The previous prime is 110000021111107. The next prime is 110000021111117. The reversal of 110000021111112 is 211111120000011.

It is an interprime number because it is at equal distance from previous prime (110000021111107) and next prime (110000021111117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110000021111117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209770464 + ... + 210294192.

It is an arithmetic number, because the mean of its divisors is an integer number (2367260909325).

Almost surely, 2110000021111112 is an apocalyptic number.

110000021111112 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 110000021111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151504698196800).

110000021111112 is an abundant number, since it is smaller than the sum of its proper divisors (193009375282488).

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

110000021111112 is a wasteful number, since it uses less digits than its factorization.

110000021111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531727 (or 531723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110000021111112 its reverse (211111120000011), we get a palindrome (321111141111123).

The spelling of 110000021111112 in words is "one hundred ten trillion, twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 7877 8888 13332 15754 23631 26664 31508 47262 63016 86647 94524 173294 189048 259941 346588 519882 523729 693176 795577 1039764 1047458 1571187 1591154 2079528 2094916 2386731 3142374 3182308 4189832 4773462 5761019 6284748 6364616 8751347 9546924 11522038 12569496 17283057 17502694 19093848 23044076 26254041 34566114 35005388 46088152 52508082 52896629 69132228 70010776 105016164 105793258 138264456 158689887 210032328 211586516 317379774 423173032 581862919 634759548 1163725838 1269519096 1745588757 2327451676 3491177514 4125413333 4654903352 6982355028 8250826666 12376239999 13964710056 16501653332 24752479998 33003306664 45379546663 49504959996 90759093326 99009919992 136138639989 181518186652 272277279978 363036373304 416666746633 544554559956 833333493266 1089109119912 1250000239899 1666666986532 2500000479798 3333333973064 4583334212963 5000000959596 9166668425926 10000001919192 13750002638889 18333336851852 27500005277778 36666673703704 55000010555556 110000021111112