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110112200000120 = 23547619280333757
BaseRepresentation
bin11001000010010101111110…
…100100010000001001111000
3112102212121211112122100022002
4121002111332210100021320
5103413034241200000440
61030104502451120132
732123225652006533
oct3102257644201170
9472777745570262
10110112200000120
11320a335a30aa1a
1210424594ba3048
1349596c74cca86
141d2965d3a1a1a
15cae40ea27115
hex64257e910278

110112200000120 has 128 divisors (see below), whose sum is σ = 253530465868800. Its totient is φ = 43021485144576.

The previous prime is 110112200000111. The next prime is 110112200000137. The reversal of 110112200000120 is 21000002211011.

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, 3261890282 + ... + 3261924038.

It is an arithmetic number, because the mean of its divisors is an integer number (1980706764600).

Almost surely, 2110112200000120 is an apocalyptic number.

110112200000120 is a gapful number since it is divisible by the number (10) 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 110112200000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126765232934400).

110112200000120 is an abundant number, since it is smaller than the sum of its proper divisors (143418265868680).

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

110112200000120 is a wasteful number, since it uses less digits than its factorization.

110112200000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37237 (or 37233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110112200000120 its reverse (21000002211011), we get a palindrome (131112202211131).

The spelling of 110112200000120 in words is "one hundred ten trillion, one hundred twelve billion, two hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 619 940 1238 1880 2476 2803 3095 4952 5606 6190 11212 12380 14015 22424 24760 28030 29093 33757 56060 58186 67514 112120 116372 131741 135028 145465 168785 232744 263482 270056 290930 337570 526964 581860 658705 675140 1053928 1163720 1317410 1350280 1586579 1735057 2634820 3173158 3470114 5269640 6346316 6940228 7932895 8675285 12692632 13880456 15865790 17350570 20895583 31731580 34701140 41791166 63463160 69402280 81547679 83582332 94620871 104477915 163095358 167164664 189241742 208955830 326190716 378483484 407738395 417911660 473104355 652381432 756966968 815476790 835823320 946208710 982092401 1630953580 1892417420 1964184802 3261907160 3784834840 3928369604 4447180937 4910462005 7856739208 8894361874 9820924010 17788723748 19641848020 22235904685 35577447496 39283696040 44471809370 58570319149 88943618740 117140638298 177887237480 234281276596 292851595745 468562553192 585703191490 1171406382980 2342812765960 2752805000003 5505610000006 11011220000012 13764025000015 22022440000024 27528050000030 55056100000060 110112200000120