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13312312299 = 32111331333667
BaseRepresentation
bin11000110010111100…
…11100001111101011
31021100202110112101200
430121132130033223
5204230422443144
610040545015243
7650614534056
oct143136341753
937322415350
1013312312299
1157114a92a0
1226b6324523
131341cc0990
14904025a9d
1552da93c69
hex31979c3eb

13312312299 has 48 divisors (see below), whose sum is σ = 23319389184. Its totient is φ = 7207185600.

The previous prime is 13312312267. The next prime is 13312312303. The reversal of 13312312299 is 99221321331.

13312312299 is a `hidden beast` number, since 1 + 3 + 312 + 312 + 29 + 9 = 666.

It is not a de Polignac number, because 13312312299 - 25 = 13312312267 is a prime.

It is a super-2 number, since 2×133123122992 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13312312499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126937 + ... + 206730.

It is an arithmetic number, because the mean of its divisors is an integer number (485820608).

Almost surely, 213312312299 is an apocalyptic number.

13312312299 is a deficient number, since it is larger than the sum of its proper divisors (10007076885).

13312312299 is a wasteful number, since it uses less digits than its factorization.

13312312299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333728 (or 333725 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The spelling of 13312312299 in words is "thirteen billion, three hundred twelve million, three hundred twelve thousand, two hundred ninety-nine".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 279 341 403 429 1023 1209 1287 3069 3627 4433 13299 39897 333667 1001001 3003003 3670337 4337671 10343677 11011011 13013013 31031031 33033033 39039039 47714381 93093093 113780447 134467801 143143143 341341341 403403403 429429429 1024024023 1210210209 1479145811 4437437433 13312312299