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10402042002 = 23113110946643
BaseRepresentation
bin10011011000000001…
…01001000010010010
3222211221021111001220
421230000221002102
5132300410321002
64440103505510
7515525620032
oct115400510222
928757244056
1010402042002
114458755130
122023758296
13c9a095351
147096d98c2
1540d3267bc
hex26c029092

10402042002 has 64 divisors (see below), whose sum is σ = 23642910720. Its totient is φ = 3022401600.

The previous prime is 10402041917. The next prime is 10402042003. The reversal of 10402042002 is 20024020401.

It is a super-2 number, since 2×104020420022 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10402042003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199693 + ... + 246335.

It is an arithmetic number, because the mean of its divisors is an integer number (369420480).

Almost surely, 210402042002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402042002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11821455360).

10402042002 is an abundant number, since it is smaller than the sum of its proper divisors (13240868718).

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

10402042002 is a wasteful number, since it uses less digits than its factorization.

10402042002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46799.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10402042002 its reverse (20024020401), we get a palindrome (30426062403).

The spelling of 10402042002 in words is "ten billion, four hundred two million, forty-two thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 109 186 218 327 341 654 682 1023 1199 2046 2398 3379 3597 6758 7194 10137 20274 37169 46643 74338 93286 111507 139929 223014 279858 513073 1026146 1445933 1539219 2891866 3078438 4337799 5084087 8675598 10168174 15252261 15905263 30504522 31810526 47715789 55924957 95431578 111849914 157606697 167774871 315213394 335549742 472820091 945640182 1733673667 3467347334 5201021001 10402042002