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131413124314422 = 23314950932087873
BaseRepresentation
bin11101111000010100000000…
…100101111111010100110110
3122020021222020120201100001000
4131320110000211333110312
5114211033034311030142
61143254204512144130
736452166504200046
oct3570240045772466
9566258216640030
10131413124314422
1138965aa1819165
12128a48b1538046
135843287238682
142464601853726
15102d554a1414c
hex77850097f536

131413124314422 has 64 divisors (see below), whose sum is σ = 294566683320000. Its totient is φ = 43424902232064.

The previous prime is 131413124314403. The next prime is 131413124314517. The reversal of 131413124314422 is 224413421314131.

131413124314422 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 312 + 4 + 314 + 4 + 22 = 666.

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, 11948523 + ... + 20139350.

It is an arithmetic number, because the mean of its divisors is an integer number (4602604426875).

Almost surely, 2131413124314422 is an apocalyptic number.

131413124314422 is an abundant number, since it is smaller than the sum of its proper divisors (163153559005578).

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

131413124314422 is a wasteful number, since it uses less digits than its factorization.

131413124314422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32088542 (or 32088536 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131413124314422 its reverse (224413421314131), we get a palindrome (355826545628553).

The spelling of 131413124314422 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-four million, three hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 149 298 447 509 894 1018 1341 1527 2682 3054 4023 4581 8046 9162 13743 27486 75841 151682 227523 455046 682569 1365138 2047707 4095414 32087873 64175746 96263619 192527238 288790857 577581714 866372571 1732745142 4781093077 9562186154 14343279231 16332727357 28686558462 32665454714 43029837693 48998182071 86059675386 97996364142 129089513079 146994546213 258179026158 293989092426 440983638639 881967277278 2433576376193 4867152752386 7300729128579 14601458257158 21902187385737 43804374771474 65706562157211 131413124314422