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21122112578 = 2725322772
BaseRepresentation
bin10011101010111110…
…011101110001000010
32000112000222111022212
4103222332131301002
5321224230100303
613411532102122
71345265665100
oct235276356102
960460874285
1021122112578
118a59977896
124115904942
131cb7ccb488
14104533cc70
1583951dad8
hex4eaf9dc42

21122112578 has 54 divisors (see below), whose sum is σ = 37700548011. Its totient is φ = 8849471904.

The previous prime is 21122112551. The next prime is 21122112581. The reversal of 21122112578 is 87521122112.

It can be written as a sum of positive squares in 5 ways, for example, as 7877095009 + 13245017569 = 88753^2 + 115087^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=102767.

It is a super-2 number, since 2×211221125782 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 76252976 + ... + 76253252.

Almost surely, 221122112578 is an apocalyptic number.

21122112578 is a deficient number, since it is larger than the sum of its proper divisors (16578435433).

21122112578 is an frugal number, since it uses more digits than its factorization.

21122112578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 339 counting only the distinct ones).

The product of its digits is 4480, while the sum is 32.

Multiplying 21122112578 by its sum of digits (32), we get a square (675907602496 = 8221362).

The spelling of 21122112578 in words is "twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, five hundred seventy-eight".

Divisors: 1 2 7 14 49 53 98 106 277 371 554 742 1939 2597 2809 3878 5194 5618 13573 14681 19663 27146 29362 39326 76729 102767 137641 153458 205534 275282 537103 719369 778093 1074206 1438738 1556186 3759721 4066637 5446651 7519442 8133274 10893302 28466459 38126557 56932918 76253114 199265213 215531761 398530426 431063522 1508722327 3017444654 10561056289 21122112578