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112112402532 = 223132326312153
BaseRepresentation
bin110100001101001101…
…0111000000001100100
3101201101022021010212220
41220122122320001210
53314101233340112
6123300445512340
711046151461264
oct1503232700144
9351338233786
10112112402532
114360158a429
121988a2726b0
13a75903b030
1455d797b7a4
152db27ae98c
hex1a1a6b8064

112112402532 has 144 divisors (see below), whose sum is σ = 295103238528. Its totient is φ = 32928698880.

The previous prime is 112112402527. The next prime is 112112402537. The reversal of 112112402532 is 235204211211.

It is a happy number.

112112402532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112112402527) and next prime (112112402537).

It is a super-2 number, since 2×1121124025322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112112402537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52071568 + ... + 52073720.

Almost surely, 2112112402532 is an apocalyptic number.

112112402532 is a gapful number since it is divisible by the number (12) 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 112112402532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147551619264).

112112402532 is an abundant number, since it is smaller than the sum of its proper divisors (182990835996).

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

112112402532 is a wasteful number, since it uses less digits than its factorization.

112112402532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2825 counting only the distinct ones).

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

Adding to 112112402532 its reverse (235204211211), we get a palindrome (347316613743).

The spelling of 112112402532 in words is "one hundred twelve billion, one hundred twelve million, four hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 529 598 631 897 1058 1196 1262 1587 1794 1893 2116 2153 2524 3174 3588 3786 4306 6348 6459 6877 7572 8203 8612 12918 13754 14513 16406 20631 24609 25836 27508 27989 29026 32812 41262 43539 49218 49519 55978 58052 82524 83967 87078 98436 99038 111956 148557 167934 174156 188669 198076 297114 333799 335868 377338 566007 594228 643747 667598 754676 1001397 1132014 1138937 1287494 1335196 1358543 1931241 2002794 2264028 2277874 2574988 2717086 3416811 3862482 4005588 4075629 4339387 4555748 5434172 6833622 7724964 8151258 8678774 13018161 13667244 14806181 16302516 17357548 17661059 26036322 29612362 31246489 35322118 44418543 52072644 52983177 59224724 62492978 70644236 88837086 93739467 105966354 124985956 177674172 187478934 211932708 374957868 406204357 718669247 812408714 1218613071 1437338494 1624817428 2156007741 2437226142 2874676988 4312015482 4874452284 8624030964 9342700211 18685400422 28028100633 37370800844 56056201266 112112402532