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113112132012 = 223211319779431
BaseRepresentation
bin110100101011000000…
…0100010100110101100
3101210221222102122220200
41221112000202212230
53323123201211022
6123544001313500
711113011154425
oct1512600424654
9353858378820
10113112132012
1143a74938a40
1219b09035890
13a8881b2039
14569065864c
152e2043abac
hex1a560229ac

113112132012 has 144 divisors (see below), whose sum is σ = 322340788224. Its totient is φ = 33133248000.

The previous prime is 113112131983. The next prime is 113112132113. The reversal of 113112132012 is 210231211311.

113112132012 is a `hidden beast` number, since 1 + 1 + 311 + 21 + 320 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11988937 + ... + 11998367.

It is an arithmetic number, because the mean of its divisors is an integer number (2238477696).

Almost surely, 2113112132012 is an apocalyptic number.

113112132012 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 113112132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161170394112).

113112132012 is an abundant number, since it is smaller than the sum of its proper divisors (209228656212).

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

113112132012 is a wasteful number, since it uses less digits than its factorization.

113112132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113112132012 its reverse (210231211311), we get a palindrome (323343343323).

The spelling of 113112132012 in words is "one hundred thirteen billion, one hundred twelve million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 977 1023 1116 1364 1954 2046 2931 3069 3908 4092 5862 6138 8793 9431 10747 11724 12276 17586 18862 21494 28293 30287 32241 35172 37724 42988 56586 60574 64482 84879 90861 96723 103741 113172 121148 128964 169758 181722 193446 207482 272583 292361 311223 333157 339516 363444 386892 414964 545166 584722 622446 666314 877083 933669 999471 1090332 1169444 1244892 1332628 1754166 1867338 1998942 2631249 2998413 3215971 3508332 3734676 3997884 5262498 5996826 6431942 9214087 9647913 10524996 11993652 12863884 18428174 19295826 27642261 28943739 36856348 38591652 55284522 57887478 82926783 101354957 110569044 115774956 165853566 202709914 285636697 304064871 331707132 405419828 571273394 608129742 856910091 912194613 1142546788 1216259484 1713820182 1824389226 2570730273 3142003667 3427640364 3648778452 5141460546 6284007334 9426011001 10282921092 12568014668 18852022002 28278033003 37704044004 56556066006 113112132012