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13042013230431 = 3323113185855147
BaseRepresentation
bin1011110111001001010010…
…0100001101010101011111
31201011210201022210202202000
42331302110210031111133
53202140020341333211
643423230153533343
72514153150226563
oct275622444152537
951153638722660
1013042013230431
1141790a5511639
121567767a14253
13737b19b68093
14331345b336a3
151793bcc96656
hexbdc9490d55f

13042013230431 has 32 divisors (see below), whose sum is σ = 20339987397120. Its totient is φ = 8243047435392.

The previous prime is 13042013230423. The next prime is 13042013230457. The reversal of 13042013230431 is 13403231024031.

It is a happy number.

13042013230431 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 201 + 3 + 23 + 0 + 431 = 666.

It is not a de Polignac number, because 13042013230431 - 23 = 13042013230423 is a prime.

It is a super-2 number, since 2×130420132304312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13042013230395 and 13042013230404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042013232431) 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, 92857401 + ... + 92997746.

It is an arithmetic number, because the mean of its divisors is an integer number (635624606160).

Almost surely, 213042013230431 is an apocalyptic number.

13042013230431 is a deficient number, since it is larger than the sum of its proper divisors (7297974166689).

13042013230431 is a wasteful number, since it uses less digits than its factorization.

13042013230431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185855292 (or 185855286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13042013230431 its reverse (13403231024031), we get a palindrome (26445244254462).

The spelling of 13042013230431 in words is "thirteen trillion, forty-two billion, thirteen million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 23 27 69 113 207 339 621 1017 2599 3051 7797 23391 70173 185855147 557565441 1672696323 4274668381 5018088969 12824005143 21001631611 38472015429 63004894833 115416046287 189014684499 483037527053 567044053497 1449112581159 4347337743477 13042013230431