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21142106334 = 23210211150403
BaseRepresentation
bin10011101100001010…
…101111000011011110
32000120102121021121100
4103230022233003132
5321244334400314
613413524413530
71345630636656
oct235412570336
960512537540
1021142106334
118a6a193458
1241205472a6
131cbc1ababb
141047c65366
1583b16cc09
hex4ec2af0de

21142106334 has 24 divisors (see below), whose sum is σ = 45852802632. Its totient is φ = 7040460240.

The previous prime is 21142106329. The next prime is 21142106347. The reversal of 21142106334 is 43360124112.

It is a happy number.

21142106334 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 21 + 0 + 633 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21142106298 and 21142106307.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 556824 + ... + 593579.

It is an arithmetic number, because the mean of its divisors is an integer number (1910533443).

Almost surely, 221142106334 is an apocalyptic number.

21142106334 is an abundant number, since it is smaller than the sum of its proper divisors (24710696298).

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

21142106334 is a wasteful number, since it uses less digits than its factorization.

21142106334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151432 (or 1151429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21142106334 in words is "twenty-one billion, one hundred forty-two million, one hundred six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 1021 2042 3063 6126 9189 18378 1150403 2300806 3451209 6902418 10353627 20707254 1174561463 2349122926 3523684389 7047368778 10571053167 21142106334