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13344560331 = 3109127931907
BaseRepresentation
bin11000110110110010…
…11101010011001011
31021110000010220101020
430123121131103023
5204312201412311
610044100123523
7651455614464
oct143331352313
937400126336
1013344560331
115728724763
1227050965a3
1313488a1c5b
1490841bd6b
15531813c06
hex31b65d4cb

13344560331 has 16 divisors (see below), whose sum is σ = 17970585600. Its totient is φ = 8807587488.

The previous prime is 13344560291. The next prime is 13344560347. The reversal of 13344560331 is 13306544331.

It is a de Polignac number, because none of the positive numbers 2k-13344560331 is a prime.

It is a super-2 number, since 2×133445603312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13344560292 and 13344560301.

It is not an unprimeable number, because it can be changed into a prime (13344562331) 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, 402280 + ... + 434186.

It is an arithmetic number, because the mean of its divisors is an integer number (1123161600).

Almost surely, 213344560331 is an apocalyptic number.

13344560331 is a deficient number, since it is larger than the sum of its proper divisors (4626025269).

13344560331 is a wasteful number, since it uses less digits than its factorization.

13344560331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33298.

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 13344560331 in words is "thirteen billion, three hundred forty-four million, five hundred sixty thousand, three hundred thirty-one".

Divisors: 1 3 109 327 1279 3837 31907 95721 139411 418233 3477863 10433589 40809053 122427159 4448186777 13344560331