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12303331131 = 3713376131987
BaseRepresentation
bin10110111010101010…
…11110111100111011
31011202102212222102210
423131111132330323
5200144123044011
65352503030203
7613613406030
oct133525367473
934672788383
1012303331131
115243a00863
12247443b363
131210c5a8c0
1484a01b387
154c01db6a6
hex2dd55ef3b

12303331131 has 64 divisors (see below), whose sum is σ = 20780039168. Its totient is φ = 6300799488.

The previous prime is 12303331129. The next prime is 12303331153. The reversal of 12303331131 is 13113330321.

It is not a de Polignac number, because 12303331131 - 21 = 12303331129 is a prime.

It is a super-2 number, since 2×123033311312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12303331098 and 12303331107.

It is not an unprimeable number, because it can be changed into a prime (12303331111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6190920 + ... + 6192906.

It is an arithmetic number, because the mean of its divisors is an integer number (324688112).

Almost surely, 212303331131 is an apocalyptic number.

12303331131 is a deficient number, since it is larger than the sum of its proper divisors (8476708037).

12303331131 is a wasteful number, since it uses less digits than its factorization.

12303331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12303331131 its reverse (13113330321), we get a palindrome (25416661452).

The spelling of 12303331131 in words is "twelve billion, three hundred three million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 613 777 1443 1839 1987 3367 4291 5961 7969 10101 12873 13909 22681 23907 25831 41727 55783 68043 73519 77493 158767 167349 180817 220557 294853 476301 514633 542451 884559 955747 1218031 1543899 2063971 2867241 3654093 6191913 6690229 8526217 15834403 20070687 25578651 45067147 47503209 110840821 135201441 315470029 332522463 585872911 946410087 1757618733 4101110377 12303331131