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1316152516131 = 321710185171327
BaseRepresentation
bin10011001001110000110…
…011011001111000100011
311122211012221011021211100
4103021300303121320203
5133030440021004011
62444344312045443
7164042325541215
oct23116063317043
94584187137740
101316152516131
114681a4868682
121930b4993883
13971606508ab
14479b889c5b5
1524381ee5d56
hex13270cd9e23

1316152516131 has 24 divisors (see below), whose sum is σ = 2032869256704. Its totient is φ = 817644729600.

The previous prime is 1316152516123. The next prime is 1316152516139.

1316152516131 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 5 + 2 + 516 + 131 = 666.

1316152516131 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1316152516123) and next prime (1316152516139).

It is not a de Polignac number, because 1316152516131 - 23 = 1316152516123 is a prime.

It is a super-2 number, since 2×13161525161312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1316152516139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42570211 + ... + 42601116.

It is an arithmetic number, because the mean of its divisors is an integer number (84702885696).

Almost surely, 21316152516131 is an apocalyptic number.

1316152516131 is a deficient number, since it is larger than the sum of its proper divisors (716716740573).

1316152516131 is a wasteful number, since it uses less digits than its factorization.

1316152516131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85171451 (or 85171448 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 1316152516131 in words is "one trillion, three hundred sixteen billion, one hundred fifty-two million, five hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 15453 85171327 255513981 766541943 1447912559 4343737677 8602304027 13031213031 25806912081 77420736243 146239168459 438717505377 1316152516131