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131412334134102 = 237171039177142337
BaseRepresentation
bin11101111000010011010001…
…011111101100001101010110
3122020021220012111212000102020
4131320103101133230031112
5114211024430014242402
61143253554243554010
736452141100602250
oct3570232137541526
9566256174760366
10131412334134102
1138965726784a7a
12128a471098b906
13584318c613258
142464568922cd0
15102d50a47b8bc
hex7784d17ec356

131412334134102 has 64 divisors (see below), whose sum is σ = 318346038466560. Its totient is φ = 35303758995456.

The previous prime is 131412334134073. The next prime is 131412334134157. The reversal of 131412334134102 is 201431433214131.

It is a happy number.

It is a super-2 number, since 2×1314123341341022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87829323 + ... + 89313014.

It is an arithmetic number, because the mean of its divisors is an integer number (4974156851040).

Almost surely, 2131412334134102 is an apocalyptic number.

131412334134102 is an abundant number, since it is smaller than the sum of its proper divisors (186933704332458).

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

131412334134102 is a wasteful number, since it uses less digits than its factorization.

131412334134102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177143405.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131412334134102 its reverse (201431433214131), we get a palindrome (332843767348233).

The spelling of 131412334134102 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1039 2078 3117 6234 7273 14546 17663 21819 35326 43638 52989 105978 123641 247282 370923 741846 177142337 354284674 531427011 1062854022 1239996359 2479992718 3011419729 3719989077 6022839458 7439978154 9034259187 18068518374 21079938103 42159876206 63239814309 126479628618 184050888143 368101776286 552152664429 1104305328858 1288356217001 2576712434002 3128865098431 3865068651003 6257730196862 7730137302006 9386595295293 18773190590586 21902055689017 43804111378034 65706167067051 131412334134102