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12301331031 = 331145479109
BaseRepresentation
bin10110111010011011…
…10110101001010111
31011202022010100211000
423131031312221113
5200143120043111
65352352114343
7613560405603
oct133515665127
934668110730
1012301331031
115242865090
1224738359b3
13121070a402
14849a5a503
154bee43c56
hex2dd376a57

12301331031 has 32 divisors (see below), whose sum is σ = 19887494400. Its totient is φ = 7452894240.

The previous prime is 12301331027. The next prime is 12301331033. The reversal of 12301331031 is 13013310321.

It is a happy number.

12301331031 is a `hidden beast` number, since 1 + 2 + 301 + 331 + 0 + 31 = 666.

It is not a de Polignac number, because 12301331031 - 22 = 12301331027 is a prime.

It is a super-2 number, since 2×123013310312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12301330995 and 12301331013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301331033) 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, 1345905 + ... + 1355013.

It is an arithmetic number, because the mean of its divisors is an integer number (621484200).

Almost surely, 212301331031 is an apocalyptic number.

12301331031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12301331031 is a deficient number, since it is larger than the sum of its proper divisors (7586163369).

12301331031 is a wasteful number, since it uses less digits than its factorization.

12301331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13670 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12301331031 its reverse (13013310321), we get a palindrome (25314641352).

It can be divided in two parts, 1 and 2301331031, that added together give a palindrome (2301331032).

The spelling of 12301331031 in words is "twelve billion, three hundred one million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 297 4547 9109 13641 27327 40923 50017 81981 100199 122769 150051 245943 300597 450153 901791 1350459 2705373 41418623 124255869 372767607 455604853 1118302821 1366814559 4100443677 12301331031