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10013310112 = 2513151159407
BaseRepresentation
bin10010101001101011…
…01111110010100000
3221211211210212011111
421110311233302200
5131001401410422
64333335553104
7503065505641
oct112465576240
927754725144
1010013310112
114279286103
121b3552b794
13c3769a890
146adc296c8
153d913ba77
hex254d6fca0

10013310112 has 48 divisors (see below), whose sum is σ = 21370874112. Its totient is φ = 4590892800.

The previous prime is 10013310103. The next prime is 10013310113. The reversal of 10013310112 is 21101331001.

10013310112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10013310092 and 10013310101.

It is not an unprimeable number, because it can be changed into a prime (10013310113) 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 7 ways as a sum of consecutive naturals, for example, 16888 + ... + 142519.

It is an arithmetic number, because the mean of its divisors is an integer number (445226544).

Almost surely, 210013310112 is an apocalyptic number.

It is an amenable number.

10013310112 is an abundant number, since it is smaller than the sum of its proper divisors (11357564000).

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

10013310112 is a wasteful number, since it uses less digits than its factorization.

10013310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159581 (or 159573 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10013310112 its reverse (21101331001), we get a palindrome (31114641113).

The spelling of 10013310112 in words is "ten billion, thirteen million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 208 302 416 604 1208 1963 2416 3926 4832 7852 15704 31408 62816 159407 318814 637628 1275256 2072291 2550512 4144582 5101024 8289164 16578328 24070457 33156656 48140914 66313312 96281828 192563656 312915941 385127312 625831882 770254624 1251663764 2503327528 5006655056 10013310112