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13665211256631 = 3113747238123813
BaseRepresentation
bin1100011011011010111000…
…0100000000111100110111
31210101101022001211122200210
43012312232010000330313
53242342323040203011
645021413354240503
72610164450111214
oct306665604007467
953341261748623
1013665211256631
114399424559610
1216484ab726133
137818158ca4bc
14353584cd2b0b
1518a6e44dd6a6
hexc6dae100f37

13665211256631 has 32 divisors (see below), whose sum is σ = 20848216163328. Its totient is φ = 7886660653440.

The previous prime is 13665211256623. The next prime is 13665211256651.

13665211256631 is nontrivially palindromic in base 10.

13665211256631 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 13665211256631 - 23 = 13665211256623 is a prime.

It is a super-2 number, since 2×136652112566312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13665211256651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119004520 + ... + 119119293.

It is an arithmetic number, because the mean of its divisors is an integer number (651506755104).

Almost surely, 213665211256631 is an apocalyptic number.

13665211256631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13665211256631 is a deficient number, since it is larger than the sum of its proper divisors (7183004906697).

13665211256631 is a wasteful number, since it uses less digits than its factorization.

13665211256631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238123911.

The product of its digits is 1166400, while the sum is 48.

The spelling of 13665211256631 in words is "thirteen trillion, six hundred sixty-five billion, two hundred eleven million, two hundred fifty-six thousand, six hundred thirty-one".

Divisors: 1 3 11 33 37 47 111 141 407 517 1221 1551 1739 5217 19129 57387 238123813 714371439 2619361943 7858085829 8810581081 11191819211 26431743243 33575457633 96916391891 123110011321 290749175673 369330033963 414097310807 1242291932421 4555070418877 13665211256631