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112032000122130 = 232511210287603317
BaseRepresentation
bin11001011110010001111011…
…100100100001110100010010
3112200200011011201021021012200
4121132101323210201310102
5104141013014012402010
61034134442414304030
732412021254544414
oct3136217344416422
9480604151237180
10112032000122130
1132773560445400
12106946761b8016
134a687593b872a
141d945407269b4
15ce4321c02cc0
hex65e47b921d12

112032000122130 has 72 divisors (see below), whose sum is σ = 320170790462796. Its totient is φ = 27159272754240.

The previous prime is 112032000122113. The next prime is 112032000122167. The reversal of 112032000122130 is 31221000230211.

112032000122130 is a `hidden beast` number, since 1 + 120 + 320 + 0 + 0 + 1 + 221 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111780695424321 + 251304697809 = 10572639^2 + 501303^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 5143790769 + ... + 5143812548.

Almost surely, 2112032000122130 is an apocalyptic number.

112032000122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112032000122130 is an abundant number, since it is smaller than the sum of its proper divisors (208138790340666).

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

112032000122130 is a wasteful number, since it uses less digits than its factorization.

112032000122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287603352 (or 10287603338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112032000122130 its reverse (31221000230211), we get a palindrome (143253000352341).

The spelling of 112032000122130 in words is "one hundred twelve trillion, thirty-two billion, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 10287603317 20575206634 30862809951 51438016585 61725619902 92588429853 102876033170 113163636487 154314049755 185176859706 226327272974 308628099510 339490909461 462942149265 565818182435 678981818922 925884298530 1018472728383 1131636364870 1244800001357 1697454547305 2036945456766 2489600002714 3394909094610 3734400004071 5092363641915 6224000006785 7468800008142 10184727283830 11203200012213 12448000013570 18672000020355 22406400024426 37344000040710 56016000061065 112032000122130