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13314244241331 = 3211134487315569
BaseRepresentation
bin1100000110111111011011…
…0011000110011110110011
31202010211101120110222201100
43001233312303012132303
53221120033011210311
644152251313135443
72542631245521315
oct301576663063663
952124346428640
1013314244241331
1142735a2855370
1215b048155a583
137576b28a0397
143405acc5b7b5
15181502621a56
hexc1bf6cc67b3

13314244241331 has 12 divisors (see below), whose sum is σ = 20980021228920. Its totient is φ = 8069238934080.

The previous prime is 13314244241327. The next prime is 13314244241357.

13314244241331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 42 + 44 + 241 + 331 = 666.

13314244241331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13314244241331 - 22 = 13314244241327 is a prime.

It is a super-2 number, since 2×133142442413312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13314244241371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67243657686 + ... + 67243657883.

It is an arithmetic number, because the mean of its divisors is an integer number (1748335102410).

Almost surely, 213314244241331 is an apocalyptic number.

13314244241331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13314244241331 is a deficient number, since it is larger than the sum of its proper divisors (7665776987589).

13314244241331 is a wasteful number, since it uses less digits than its factorization.

13314244241331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134487315586 (or 134487315583 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1331424 and 4241331, that added together give a palindrome (5572755).

The spelling of 13314244241331 in words is "thirteen trillion, three hundred fourteen billion, two hundred forty-four million, two hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 134487315569 403461946707 1210385840121 1479360471259 4438081413777 13314244241331