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13155411455131 = 1161163167720241
BaseRepresentation
bin1011111101101111101110…
…1000000110110010011011
31201120122102020120110001011
42333123323220012302123
53211014240313031011
643551302415234351
72525306234231641
oct277337350066233
951518366513034
1013155411455131
1142121a6895210
1215857348189b7
1374571c3b8a1a
14336a22381191
1517c308395621
hexbf6fba06c9b

13155411455131 has 32 divisors (see below), whose sum is σ = 14764016042496. Its totient is φ = 11621216448000.

The previous prime is 13155411455129. The next prime is 13155411455141.

13155411455131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13155411455131 - 21 = 13155411455129 is a prime.

It is a super-2 number, since 2×131554114551312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13155411455141) 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, 17905171 + ... + 18625411.

It is an arithmetic number, because the mean of its divisors is an integer number (461375501328).

Almost surely, 213155411455131 is an apocalyptic number.

13155411455131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13155411455131 is a deficient number, since it is larger than the sum of its proper divisors (1608604587365).

13155411455131 is a wasteful number, since it uses less digits than its factorization.

13155411455131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720643.

The product of its digits is 90000, while the sum is 40.

The spelling of 13155411455131 in words is "thirteen trillion, one hundred fifty-five billion, four hundred eleven million, four hundred fifty-five thousand, one hundred thirty-one".

Divisors: 1 11 61 163 167 671 1793 1837 9943 10187 27221 109373 112057 299431 720241 1660481 7922651 18265291 43934701 117399283 120280247 483281711 1291392113 1323082717 7161356263 7337095067 19605680261 78774918893 80708045737 215662482871 1195946495921 13155411455131