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112145140032 = 2631148950839
BaseRepresentation
bin110100001110001011…
…1110000100101000000
3101201110120212101021220
41220130113300211000
53314133123440112
6123304015315040
711050026651012
oct1503427604500
9351416771256
10112145140032
114361900a612
121989921ba80
13a762a61033
1455dc0601b2
152db55c998c
hex1a1c5f0940

112145140032 has 56 divisors (see below), whose sum is σ = 296749012800. Its totient is φ = 37377724416.

The previous prime is 112145140027. The next prime is 112145140033. The reversal of 112145140032 is 230041541211.

It is a super-2 number, since 2×1121451400322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112145139984 and 112145140011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112145140033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2180469 + ... + 2231307.

Almost surely, 2112145140032 is an apocalyptic number.

112145140032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112145140032 is an abundant number, since it is smaller than the sum of its proper divisors (184603872768).

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

112145140032 is a wasteful number, since it uses less digits than its factorization.

112145140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62343 (or 62333 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 112145140032 its reverse (230041541211), we get a palindrome (342186681243).

The spelling of 112145140032 in words is "one hundred twelve billion, one hundred forty-five million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11489 22978 34467 45956 50839 68934 91912 101678 137868 152517 183824 203356 275736 305034 367648 406712 551472 610068 735296 813424 1102944 1220136 1626848 2205888 2440272 3253696 4880544 9761088 584089271 1168178542 1752267813 2336357084 3504535626 4672714168 7009071252 9345428336 14018142504 18690856672 28036285008 37381713344 56072570016 112145140032