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131331310424461 = 7213936752540153
BaseRepresentation
bin11101110111000111110100…
…000110110001000110001101
3122020000011001211110002210101
4131313013310012301012031
5114203213010432040321
61143152434320411101
736443242205460400
oct3567076406610615
9566004054402711
10131331310424461
1138934328a30774
1212890a7a176a91
13583864938c4b4
14246067dc27d37
15102b367196791
hex7771f41b118d

131331310424461 has 24 divisors (see below), whose sum is σ = 154291517842560. Its totient is φ = 111455315883072.

The previous prime is 131331310424417. The next prime is 131331310424519. The reversal of 131331310424461 is 164424013133131.

It is a happy number.

It is not a de Polignac number, because 131331310424461 - 29 = 131331310423949 is a prime.

It is a super-2 number, since 2×1313313104244612 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131331310424461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331310424401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23770440 + ... + 28769713.

It is an arithmetic number, because the mean of its divisors is an integer number (6428813243440).

Almost surely, 2131331310424461 is an apocalyptic number.

It is an amenable number.

131331310424461 is a deficient number, since it is larger than the sum of its proper divisors (22960207418099).

131331310424461 is a wasteful number, since it uses less digits than its factorization.

131331310424461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52540673 (or 52540666 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 131331310424461 its reverse (164424013133131), we get a palindrome (295755323557592).

The spelling of 131331310424461 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, three hundred ten million, four hundred twenty-four thousand, four hundred sixty-one".

Divisors: 1 7 49 139 367 973 2569 6811 17983 51013 357091 2499637 52540153 367781071 2574467497 7303081267 19282236151 51121568869 134975653057 357850982083 944829571399 2680230824989 18761615774923 131331310424461