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131213021424401 = 72923324111150609
BaseRepresentation
bin11101110101011001101001…
…100010000010101100010001
3122012120211202001211021222002
4131311121221202002230101
5114144243231441040101
61143022232504523345
736431553663533120
oct3565315142025421
9565524661737862
10131213021424401
1138899147972194
1212871b67480555
13582a447803437
142458a5bc2bab7
151028242518d6b
hex775669882b11

131213021424401 has 32 divisors (see below), whose sum is σ = 155859237331200. Its totient is φ = 108079094753280.

The previous prime is 131213021424383. The next prime is 131213021424427. The reversal of 131213021424401 is 104424120312131.

It is a de Polignac number, because none of the positive numbers 2k-131213021424401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131213021424431) 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, 113462585 + ... + 114613193.

It is an arithmetic number, because the mean of its divisors is an integer number (4870601166600).

Almost surely, 2131213021424401 is an apocalyptic number.

It is an amenable number.

131213021424401 is a deficient number, since it is larger than the sum of its proper divisors (24646215906799).

131213021424401 is a wasteful number, since it uses less digits than its factorization.

131213021424401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153289.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 131213021424401 its reverse (104424120312131), we get a palindrome (235637141736532).

The spelling of 131213021424401 in words is "one hundred thirty-one trillion, two hundred thirteen billion, twenty-one million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 7 29 203 233 1631 2411 6757 16877 47299 69919 489433 561763 1150609 3932341 8054263 16291127 33367661 114037889 233573627 268091897 1876643279 2774118299 7774665013 19418828093 54422655091 80449430671 563146014697 646369563667 4524586945669 18744717346343 131213021424401