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1310324230131 = 37282916076691
BaseRepresentation
bin10011000100010101011…
…010010000011111110011
311122021011202012200110220
4103010111122100133303
5132432021000331011
62441542111424123
7163445025120600
oct23042532203763
94567152180426
101310324230131
11465783960094
12191b48b25043
1396742017357
14475c47cb6a7
15241404cb506
hex131156907f3

1310324230131 has 48 divisors (see below), whose sum is σ = 2036361680640. Its totient is φ = 747276425280.

The previous prime is 1310324230099. The next prime is 1310324230213.

1310324230131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1310324230131 - 25 = 1310324230099 is a prime.

It is a super-2 number, since 2×13103242301312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310324230531) 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, 195830496 + ... + 195837186.

It is an arithmetic number, because the mean of its divisors is an integer number (42424201680).

Almost surely, 21310324230131 is an apocalyptic number.

1310324230131 is a deficient number, since it is larger than the sum of its proper divisors (726037450509).

1310324230131 is a wasteful number, since it uses less digits than its factorization.

1310324230131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 1310324230131 in words is "one trillion, three hundred ten billion, three hundred twenty-four million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 829 1607 2487 4821 5803 6691 11249 17409 20073 33747 40621 46837 78743 121863 140511 236229 327859 983577 1332203 3996609 5546839 9325421 10752437 16640517 27976263 32257311 38827873 65277947 75267059 116483619 195833841 225801177 271795111 526869413 815385333 1580608239 8913770273 26741310819 62396391911 187189175733 436774743377 1310324230131