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12302331431 = 133138517927
BaseRepresentation
bin10110111010100011…
…01010111000100111
31011202101000012002212
423131101222320213
5200143344101211
65352425354035
7613602043325
oct133521527047
934671005085
1012302331431
115243388765
12247403891b
13121099a870
14849c3ad15
154c009038b
hex2dd46ae27

12302331431 has 16 divisors (see below), whose sum is σ = 13681317888. Its totient is φ = 10985436000.

The previous prime is 12302331421. The next prime is 12302331449. The reversal of 12302331431 is 13413320321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12302331431 is a prime.

It is a super-2 number, since 2×123023314312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12302331397 and 12302331406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302331421) 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 15 ways as a sum of consecutive naturals, for example, 1547990 + ... + 1555916.

It is an arithmetic number, because the mean of its divisors is an integer number (855082368).

Almost surely, 212302331431 is an apocalyptic number.

12302331431 is a deficient number, since it is larger than the sum of its proper divisors (1378986457).

12302331431 is a wasteful number, since it uses less digits than its factorization.

12302331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12302331431 its reverse (13413320321), we get a palindrome (25715651752).

The spelling of 12302331431 in words is "twelve billion, three hundred two million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 13 31 403 3851 7927 50063 103051 119381 245737 1551953 3194581 30526877 396849401 946333187 12302331431