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10022022112 = 251917599371
BaseRepresentation
bin10010101010101101…
…11110101111100000
3221212110012110210011
421111112332233200
5131011114201422
64334250414304
7503232532234
oct112526765740
927773173704
1010022022112
114283196603
121b38431394
13c3942b0cb
146b10565c4
153d9cad077
hex2555bebe0

10022022112 has 48 divisors (see below), whose sum is σ = 20783347200. Its totient is φ = 4744068480.

The previous prime is 10022022103. The next prime is 10022022119. The reversal of 10022022112 is 21122022001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10022022092 and 10022022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022022119) 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 7 ways as a sum of consecutive naturals, for example, 1064787 + ... + 1074157.

It is an arithmetic number, because the mean of its divisors is an integer number (432986400).

Almost surely, 210022022112 is an apocalyptic number.

It is an amenable number.

10022022112 is an abundant number, since it is smaller than the sum of its proper divisors (10761325088).

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

10022022112 is a wasteful number, since it uses less digits than its factorization.

10022022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022022112 its reverse (21122022001), we get a palindrome (31144044113).

The spelling of 10022022112 in words is "ten billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1759 3518 7036 9371 14072 18742 28144 33421 37484 56288 66842 74968 133684 149936 178049 267368 299872 356098 534736 712196 1069472 1424392 2848784 5697568 16483589 32967178 65934356 131868712 263737424 313188191 527474848 626376382 1252752764 2505505528 5011011056 10022022112