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10022120112 = 2431012067269
BaseRepresentation
bin10010101010101110…
…10110101010110000
3221212110101110012210
421111113112222300
5131011130320422
64334252452120
7503233421034
oct112527265260
927773343183
1010022120112
1142832531a4
121b3847a040
13c394638b4
146b10801c4
153d9ccc10c
hex2555d6ab0

10022120112 has 40 divisors (see below), whose sum is σ = 26146830960. Its totient is φ = 3307628800.

The previous prime is 10022120093. The next prime is 10022120117. The reversal of 10022120112 is 21102122001.

10022120112 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 (12).

It is not an unprimeable number, because it can be changed into a prime (10022120117) 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, 1028787 + ... + 1038482.

It is an arithmetic number, because the mean of its divisors is an integer number (653670774).

Almost surely, 210022120112 is an apocalyptic number.

10022120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022120112 is an abundant number, since it is smaller than the sum of its proper divisors (16124710848).

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

10022120112 is a wasteful number, since it uses less digits than its factorization.

10022120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067381 (or 2067375 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022120112 its reverse (21102122001), we get a palindrome (31124242113).

The spelling of 10022120112 in words is "ten billion, twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 2067269 4134538 6201807 8269076 12403614 16538152 24807228 33076304 49614456 99228912 208794169 417588338 626382507 835176676 1252765014 1670353352 2505530028 3340706704 5011060056 10022120112