Search a number
-
+
13002130131102 = 233734397169659
BaseRepresentation
bin1011110100110100101101…
…0110010000100010011110
31201000222202210201101211000
42331031023112100202132
53201011330303143402
643353032432411130
72511241622411220
oct275151326204236
951028683641730
1013002130131102
114163199548822
12155ba970a6aa6
13734132095b18
1432d440cb6410
151783366a1c1c
hexbd34b59089e

13002130131102 has 32 divisors (see below), whose sum is σ = 33021282873600. Its totient is φ = 3714894323064.

The previous prime is 13002130131071. The next prime is 13002130131119. The reversal of 13002130131102 is 20113103120031.

13002130131102 is a `hidden beast` number, since 1 + 30 + 0 + 21 + 301 + 311 + 0 + 2 = 666.

13002130131102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130021301311022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17198584452 + ... + 17198585207.

It is an arithmetic number, because the mean of its divisors is an integer number (1031915089800).

Almost surely, 213002130131102 is an apocalyptic number.

13002130131102 is an abundant number, since it is smaller than the sum of its proper divisors (20019152742498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13002130131102 is a wasteful number, since it uses less digits than its factorization.

13002130131102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34397169677 (or 34397169671 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13002130131102 its reverse (20113103120031), we get a palindrome (33115233251133).

The spelling of 13002130131102 in words is "thirteen trillion, two billion, one hundred thirty million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 34397169659 68794339318 103191508977 206383017954 240780187613 309574526931 481560375226 619149053862 722340562839 928723580793 1444681125678 1857447161586 2167021688517 4334043377034 6501065065551 13002130131102