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112365640134 = 232112291779007
BaseRepresentation
bin110100010100110000…
…0111001100111000110
3101202000221202221120100
41220221200321213012
53320111100441014
6123341533344530
711055345116316
oct1505140714706
9352027687510
10112365640134
1143721524600
121993b038146
13a799645277
14561d45b446
152dc9b33009
hex1a298399c6

112365640134 has 72 divisors (see below), whose sum is σ = 276831434880. Its totient is φ = 32876030880.

The previous prime is 112365640097. The next prime is 112365640157. The reversal of 112365640134 is 431046563211.

112365640134 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 6 + 5 + 640 + 1 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 826342 + ... + 952665.

It is an arithmetic number, because the mean of its divisors is an integer number (3844881040).

Almost surely, 2112365640134 is an apocalyptic number.

112365640134 is an abundant number, since it is smaller than the sum of its proper divisors (164465794746).

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

112365640134 is a wasteful number, since it uses less digits than its factorization.

112365640134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779066 (or 1779052 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 112365640134 in words is "one hundred twelve billion, three hundred sixty-five million, six hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5742 7018 10527 21054 31581 63162 1779007 3558014 5337021 10674042 16011063 19569077 32022126 39138154 51591203 58707231 103182406 117414462 154773609 176121693 215259847 309547218 352243386 430519694 464320827 567503233 645779541 928641654 1135006466 1291559082 1702509699 1937338623 3405019398 3874677246 5107529097 6242535563 10215058194 12485071126 18727606689 37455213378 56182820067 112365640134