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131422646224131 = 32937283144265603
BaseRepresentation
bin11101111000011100111000…
…001001001100010100000011
3122020022212211011212110120120
4131320130320021030110003
5114211212034413133011
61143302421415511323
736452654455116543
oct3570347011142403
9566285734773516
10131422646224131
113896a038680929
12128a670a388543
135844143b72482
142464c662c5323
15102d910935a06
hex77873824c503

131422646224131 has 32 divisors (see below), whose sum is σ = 186829727804160. Its totient is φ = 82016725924224.

The previous prime is 131422646224127. The next prime is 131422646224139.

131422646224131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131422646224131 - 22 = 131422646224127 is a prime.

It is a super-2 number, since 2×1314226462241312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131422646224139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71221825 + ... + 73043778.

It is an arithmetic number, because the mean of its divisors is an integer number (5838428993880).

Almost surely, 2131422646224131 is an apocalyptic number.

131422646224131 is a deficient number, since it is larger than the sum of its proper divisors (55407081580029).

131422646224131 is a wasteful number, since it uses less digits than its factorization.

131422646224131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144265955.

The product of its digits is 331776, while the sum is 42.

The spelling of 131422646224131 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, six hundred forty-six million, two hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 29 37 87 111 283 849 1073 3219 8207 10471 24621 31413 303659 910977 144265603 432796809 4183702487 5337827311 12551107461 16013481933 40827165649 122481496947 154796992019 464390976057 1183987803821 1510605129013 3551963411463 4531815387039 43807548741377 131422646224131