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113131212012 = 223271334533337
BaseRepresentation
bin110100101011100100…
…1010100110011101100
3101211000022100000202100
41221113021110303230
53323143042241022
6123545522255100
711113332302310
oct1512711246354
9354008300670
10113131212012
1143a84690035
1219b134b7490
13a88c132790
145692dc3b40
152e21e591ac
hex1a57254cec

113131212012 has 72 divisors (see below), whose sum is σ = 351963780896. Its totient is φ = 29836802304.

The previous prime is 113131211959. The next prime is 113131212067. The reversal of 113131212012 is 210212131311.

It is a super-2 number, since 2×1131312120122 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17263393 + ... + 17269944.

Almost surely, 2113131212012 is an apocalyptic number.

113131212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113131212012 is an abundant number, since it is smaller than the sum of its proper divisors (238832568884).

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

113131212012 is a wasteful number, since it uses less digits than its factorization.

113131212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34533367 (or 34533362 counting only the distinct ones).

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

Adding to 113131212012 its reverse (210212131311), we get a palindrome (323343343323).

The spelling of 113131212012 in words is "one hundred thirteen billion, one hundred thirty-one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 34533337 69066674 103600011 138133348 207200022 241733359 310800033 414400044 448933381 483466718 621600066 725200077 897866762 966933436 1243200132 1346800143 1450400154 1795733524 2175600231 2693600286 2900800308 3142533667 4040400429 4351200462 5387200572 6285067334 8080800858 8702400924 9427601001 12570134668 16161601716 18855202002 28282803003 37710404004 56565606006 113131212012