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12853249321 = 1122312893583
BaseRepresentation
bin10111111100001110…
…10000010100101001
31020011202122201101011
423332013100110221
5202310412434241
65523225423521
7633341550043
oct137607202451
936152581334
1012853249321
1154a6362500
1225a863aba1
13129ab6ca93
1489d088a93
15503615281
hex2fe1d0529

12853249321 has 24 divisors (see below), whose sum is σ = 14757765120. Its totient is φ = 11164950720.

The previous prime is 12853249303. The next prime is 12853249327. The reversal of 12853249321 is 12394235821.

12853249321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12853249321 - 213 = 12853241129 is a prime.

It is a super-2 number, since 2×128532493212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12853249327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3585496 + ... + 3589078.

It is an arithmetic number, because the mean of its divisors is an integer number (614906880).

Almost surely, 212853249321 is an apocalyptic number.

12853249321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12853249321 is a deficient number, since it is larger than the sum of its proper divisors (1904515799).

12853249321 is a wasteful number, since it uses less digits than its factorization.

12853249321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4906 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The spelling of 12853249321 in words is "twelve billion, eight hundred fifty-three million, two hundred forty-nine thousand, three hundred twenty-one".

Divisors: 1 11 23 121 253 1289 2783 3583 14179 29647 39413 82409 155969 326117 433543 906499 3587287 4618487 9971489 50803357 106225201 558836927 1168477211 12853249321