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131211222334401 = 31131312703187369
BaseRepresentation
bin11101110101010111111110…
…010011000011101111000001
3122012120200002200112001110010
4131311113332103003233001
5114144231040404200101
61143021334200055133
736431461256525556
oct3565277623035701
9565520080461403
10131211222334401
113889840437a250
1212871744a644a9
13582a21bb71641
14245892ad10a2d
1510281895e02d6
hex7755fe4c3bc1

131211222334401 has 16 divisors (see below), whose sum is σ = 191462440040640. Its totient is φ = 79267889176320.

The previous prime is 131211222334391. The next prime is 131211222334421. The reversal of 131211222334401 is 104433222112131.

It is not a de Polignac number, because 131211222334401 - 25 = 131211222334369 is a prime.

It is a super-2 number, since 2×1312112223344012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131211222334421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6351583356 + ... + 6351604013.

It is an arithmetic number, because the mean of its divisors is an integer number (11966402502540).

Almost surely, 2131211222334401 is an apocalyptic number.

131211222334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131211222334401 is a deficient number, since it is larger than the sum of its proper divisors (60251217706239).

131211222334401 is a wasteful number, since it uses less digits than its factorization.

131211222334401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12703187696.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131211222334401 its reverse (104433222112131), we get a palindrome (235644444446532).

The spelling of 131211222334401 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred twenty-two million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 3 11 33 313 939 3443 10329 12703187369 38109562107 139735061059 419205183177 3976097646497 11928292939491 43737074111467 131211222334401