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13002115131 = 3219531434637
BaseRepresentation
bin11000001101111110…
…01000100000111011
31020120010202212212200
430012333020200323
5203112020141011
65550104241243
7640130104125
oct140677104073
936503685780
1013002115131
11557239a5a5
12262a470223
1312c2962665
148b4b5a215
1551171d856
hex306fc883b

13002115131 has 24 divisors (see below), whose sum is σ = 20142317520. Its totient is φ = 8056915776.

The previous prime is 13002115099. The next prime is 13002115163. The reversal of 13002115131 is 13151120031.

13002115131 is a `hidden beast` number, since 130 + 0 + 21 + 1 + 513 + 1 = 666.

13002115131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13002115099) and next prime (13002115163).

It is not a de Polignac number, because 13002115131 - 25 = 13002115099 is a prime.

It is a super-2 number, since 2×130021151312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13002115631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708256 + ... + 726381.

It is an arithmetic number, because the mean of its divisors is an integer number (839263230).

Almost surely, 213002115131 is an apocalyptic number.

13002115131 is a deficient number, since it is larger than the sum of its proper divisors (7140202389).

13002115131 is a wasteful number, since it uses less digits than its factorization.

13002115131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434715 (or 1434712 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 13002115131 its reverse (13151120031), we get a palindrome (26153235162).

The spelling of 13002115131 in words is "thirteen billion, two million, one hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 3 9 19 53 57 159 171 477 1007 3021 9063 1434637 4303911 12911733 27258103 76035761 81774309 228107283 245322927 684321849 1444679459 4334038377 13002115131