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131141403344322 = 23271907545781221
BaseRepresentation
bin11101110100010110111100…
…110000101111110111000010
3122012022222212212202212111200
4131310112330300233313002
5114142110043224004242
61142525310132522030
736423440141101620
oct3564267460576702
9565288785685450
10131141403344322
113887083637a658
12128600ba780316
135823773092767
1424553c6376510
15102644ed3704c
hex7745bcc2fdc2

131141403344322 has 48 divisors (see below), whose sum is σ = 324901378331712. Its totient is φ = 37449324191520.

The previous prime is 131141403344297. The next prime is 131141403344351. The reversal of 131141403344322 is 223443304141131.

131141403344322 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 40 + 33 + 443 + 2 + 2 = 666.

It is a super-2 number, since 2×1311414033443222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272650329 + ... + 273130892.

It is an arithmetic number, because the mean of its divisors is an integer number (6768778715244).

Almost surely, 2131141403344322 is an apocalyptic number.

131141403344322 is an abundant number, since it is smaller than the sum of its proper divisors (193759974987390).

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

131141403344322 is a wasteful number, since it uses less digits than its factorization.

131141403344322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545783143 (or 545783140 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131141403344322 its reverse (223443304141131), we get a palindrome (354584707485453).

The spelling of 131141403344322 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, three hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1907 3814 5721 11442 13349 17163 26698 34326 40047 80094 120141 240282 545781221 1091562442 1637343663 3274687326 3820468547 4912030989 7640937094 9824061978 11461405641 22922811282 34384216923 68768433846 1040804788447 2081609576894 3122414365341 6244828730682 7285633519129 9367243096023 14571267038258 18734486192046 21856900557387 43713801114774 65570701672161 131141403344322