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13131201421 = 1317298923021
BaseRepresentation
bin11000011101010111…
…00011101110001101
31020220010200010222101
430032223203232031
5203343041421141
610010555115101
7643255241032
oct141653435615
936803603871
1013131201421
115629247a88
122665742a91
13131361b290
148c7d5d389
1551cc1b531
hex30eae3b8d

13131201421 has 32 divisors (see below), whose sum is σ = 15664168800. Its totient is φ = 10890485760.

The previous prime is 13131201407. The next prime is 13131201437. The reversal of 13131201421 is 12410213131.

It can be written as a sum of positive squares in 16 ways, for example, as 6808725225 + 6322476196 = 82515^2 + 79514^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131201421 - 25 = 13131201389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558891 + ... + 581911.

It is an arithmetic number, because the mean of its divisors is an integer number (489505275).

Almost surely, 213131201421 is an apocalyptic number.

It is an amenable number.

13131201421 is a deficient number, since it is larger than the sum of its proper divisors (2532967379).

13131201421 is a wasteful number, since it uses less digits than its factorization.

13131201421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23169.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13131201421 its reverse (12410213131), we get a palindrome (25541414552).

The spelling of 13131201421 in words is "thirteen billion, one hundred thirty-one million, two hundred one thousand, four hundred twenty-one".

Divisors: 1 13 17 29 89 221 377 493 1157 1513 2581 6409 19669 23021 33553 43877 299273 391357 570401 667609 2048869 5087641 8678917 11349353 26635297 34830773 59417201 147541589 452800049 772423613 1010092417 13131201421