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10111110012 = 2233431217219
BaseRepresentation
bin10010110101010101…
…10100101101111100
3222002122211121102000
421122222310231330
5131201421010022
64351152102300
7505364005563
oct113252645574
928078747360
1010111110012
114319504673
121b62234990
13c51a20b43
146bcc06bda
153e2a096ac
hex25aab4b7c

10111110012 has 48 divisors (see below), whose sum is σ = 26274931200. Its totient is φ = 3362534640.

The previous prime is 10111110001. The next prime is 10111110013. The reversal of 10111110012 is 21001111101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111109976 and 10111110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62062 + ... + 155157.

It is an arithmetic number, because the mean of its divisors is an integer number (547394400).

Almost surely, 210111110012 is an apocalyptic number.

10111110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111110012 is an abundant number, since it is smaller than the sum of its proper divisors (16163821188).

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

10111110012 is a wasteful number, since it uses less digits than its factorization.

10111110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217663 (or 217655 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10111110012 its reverse (21001111101), we get a palindrome (31112221113).

The spelling of 10111110012 in words is "ten billion, one hundred eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 431 862 1293 1724 2586 3879 5172 7758 11637 15516 23274 46548 217219 434438 651657 868876 1303314 1954971 2606628 3909942 5864913 7819884 11729826 23459652 93621389 187242778 280864167 374485556 561728334 842592501 1123456668 1685185002 2527777503 3370370004 5055555006 10111110012