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10111112010 = 2335191970977
BaseRepresentation
bin10010110101010101…
…10101001101001010
3222002122211201011000
421122222311031022
5131201421041020
64351152115430
7505364014446
oct113252651512
928078751130
1010111112010
11431950611a
121b62235b76
13c51a21a1c
146bcc07826
153e2a0a090
hex25aab534a

10111112010 has 64 divisors (see below), whose sum is σ = 28382083200. Its totient is φ = 2554384896.

The previous prime is 10111112009. The next prime is 10111112017. The reversal of 10111112010 is 1021111101.

10111112010 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 (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10111111983 and 10111112001.

It is not an unprimeable number, because it can be changed into a prime (10111112017) 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 31 ways as a sum of consecutive naturals, for example, 980359 + ... + 990618.

It is an arithmetic number, because the mean of its divisors is an integer number (443470050).

Almost surely, 210111112010 is an apocalyptic number.

10111112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111112010 is an abundant number, since it is smaller than the sum of its proper divisors (18270971190).

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

10111112010 is a wasteful number, since it uses less digits than its factorization.

10111112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971012 (or 1971006 counting only the distinct ones).

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

Adding to 10111112010 its reverse (1021111101), we get a palindrome (11132223111).

Subtracting from 10111112010 its reverse (1021111101), we obtain a palindrome (9090000909).

The spelling of 10111112010 in words is "ten billion, one hundred eleven million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 1970977 3941954 5912931 9854885 11825862 17738793 19709770 29564655 35477586 37448563 53216379 59129310 74897126 88693965 106432758 112345689 177387930 187242815 224691378 266081895 337037067 374485630 532163790 561728445 674074134 1011111201 1123456890 1685185335 2022222402 3370370670 5055556005 10111112010