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12302113431 = 323701325423
BaseRepresentation
bin10110111010100001…
…10101101010010111
31011202100121010001210
423131100311222113
5200143320112211
65352420552503
7613600144626
oct133520655227
934670533053
1012302113431
1152432499a3
122473b52733
13121092257a
14849bc16bd
154c004a9a6
hex2dd435a97

12302113431 has 16 divisors (see below), whose sum is σ = 17119097856. Its totient is φ = 7843398816.

The previous prime is 12302113429. The next prime is 12302113433. The reversal of 12302113431 is 13431120321.

It is an interprime number because it is at equal distance from previous prime (12302113429) and next prime (12302113433).

It is not a de Polignac number, because 12302113431 - 21 = 12302113429 is a prime.

It is a super-4 number, since 4×123021134314 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12302113398 and 12302113407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302113433) 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, 471186 + ... + 496608.

It is an arithmetic number, because the mean of its divisors is an integer number (1069943616).

Almost surely, 212302113431 is an apocalyptic number.

12302113431 is a deficient number, since it is larger than the sum of its proper divisors (4816984425).

12302113431 is a wasteful number, since it uses less digits than its factorization.

12302113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32462.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12302113431 its reverse (13431120321), we get a palindrome (25733233752).

The spelling of 12302113431 in words is "twelve billion, three hundred two million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 23 69 7013 21039 25423 76269 161299 483897 584729 1754187 178291499 534874497 4100704477 12302113431