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10220010112 = 27136141833
BaseRepresentation
bin10011000010010100…
…01111101010000000
3222101020202022021001
421201022033222000
5131412310310422
64410042141344
7511155436564
oct114112175200
928336668231
1010220010112
114374a24954
121b927b1854
13c6b45c680
146cd4736a4
153ec36b227
hex26128fa80

10220010112 has 32 divisors (see below), whose sum is σ = 21926347380. Its totient is φ = 4716926976.

The previous prime is 10220010109. The next prime is 10220010127. The reversal of 10220010112 is 21101002201.

It can be written as a sum of positive squares in 2 ways, for example, as 8816458816 + 1403551296 = 93896^2 + 37464^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3069253 + ... + 3072580.

Almost surely, 210220010112 is an apocalyptic number.

It is an amenable number.

10220010112 is an abundant number, since it is smaller than the sum of its proper divisors (11706337268).

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

10220010112 is an equidigital number, since it uses as much as digits as its factorization.

10220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141860 (or 6141848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220010112 its reverse (21101002201), we get a palindrome (31321012313).

The spelling of 10220010112 in words is "ten billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 6141833 12283666 24567332 49134664 79843829 98269328 159687658 196538656 319375316 393077312 638750632 786154624 1277501264 2555002528 5110005056 10220010112