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12331319 = 7111397127
BaseRepresentation
bin101111000010…
…100100110111
3212012111101112
4233002210313
511124100234
61120145235
7206546240
oct57024467
925174345
1012331319
116a62780
12416821b
132729a50
1418cdcc7
151138ace
hexbc2937

12331319 has 32 divisors (see below), whose sum is σ = 16859136. Its totient is φ = 8709120.

The previous prime is 12331309. The next prime is 12331337. The reversal of 12331319 is 91313321.

It is not a de Polignac number, because 12331319 - 24 = 12331303 is a prime.

It is a super-2 number, since 2×123313192 = 304122856559522, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12331294 and 12331303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97034 + ... + 97160.

It is an arithmetic number, because the mean of its divisors is an integer number (526848).

Almost surely, 212331319 is an apocalyptic number.

12331319 is a deficient number, since it is larger than the sum of its proper divisors (4527817).

12331319 is a wasteful number, since it uses less digits than its factorization.

12331319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 486, while the sum is 23.

The square root of 12331319 is about 3511.5977844850. The cubic root of 12331319 is about 231.0307799293.

It can be divided in two parts, 1233 and 1319, that added together give a palindrome (2552).

The spelling of 12331319 in words is "twelve million, three hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 7 11 13 77 91 97 127 143 679 889 1001 1067 1261 1397 1651 7469 8827 9779 11557 12319 13871 18161 86233 97097 127127 135509 160147 948563 1121029 1761617 12331319