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112121054502168 = 23323373859633937
BaseRepresentation
bin11001011111100100110111…
…101000000001110100011000
3112200222200001001210111121110
4121133210313220001310120
5104143442404423032133
61034243411254540320
732421323152356435
oct3137446750016430
9480880031714543
10112121054502168
11327a82aa305198
12106a998a3676a0
134a73c7c33076a
141d9898bbd0b8c
15ce67d5040c63
hex65f937a01d18

112121054502168 has 128 divisors (see below), whose sum is σ = 293615738380800. Its totient is φ = 35611339585536.

The previous prime is 112121054502139. The next prime is 112121054502199. The reversal of 112121054502168 is 861205450121211.

It is a super-2 number, since 2×1121210545021682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176547696 + ... + 177181632.

It is an arithmetic number, because the mean of its divisors is an integer number (2293872956100).

Almost surely, 2112121054502168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121054502168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146807869190400).

112121054502168 is an abundant number, since it is smaller than the sum of its proper divisors (181494683878632).

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

112121054502168 is a wasteful number, since it uses less digits than its factorization.

112121054502168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635201 (or 635197 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 112121054502168 in words is "one hundred twelve trillion, one hundred twenty-one billion, fifty-four million, five hundred two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 373 552 746 859 1119 1492 1718 2238 2577 2984 3436 4476 5154 6872 8579 8952 10308 17158 19757 20616 25737 34316 39514 51474 59271 68632 79028 102948 118542 158056 205896 237084 320407 474168 633937 640814 961221 1267874 1281628 1901811 1922442 2535748 2563256 3803622 3844884 5071496 7369361 7607244 7689768 14580551 14738722 15214488 22108083 29161102 29477444 43741653 44216166 58322204 58954888 87483306 88432332 116644408 174966612 176864664 236458501 349933224 472917002 544551883 709375503 945834004 1089103766 1418751006 1633655649 1891668008 2178207532 2837502012 3267311298 4356415064 5438545523 5675004024 6534622596 10877091046 12524693309 13069245192 16315636569 21754182092 25049386618 32631273138 37574079927 43508364184 50098773236 65262546276 75148159854 100197546472 130525092552 150296319708 203117852359 300592639416 406235704718 609353557077 812471409436 1218707114154 1624942818872 2437414228308 4671710604257 4874828456616 9343421208514 14015131812771 18686842417028 28030263625542 37373684834056 56060527251084 112121054502168