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10201610424 = 2337316013637
BaseRepresentation
bin10011000000001000…
…00011100010111000
3222022222010111122010
421200010003202320
5131343103013144
64404143525520
7510543154305
oct114004034270
928288114563
1010201610424
1143655a79a5
121b885b98a0
13c676b9795
146cac440ac
153ea9345b9
hex2601038b8

10201610424 has 64 divisors (see below), whose sum is σ = 25876657440. Its totient is φ = 3350937600.

The previous prime is 10201610413. The next prime is 10201610429. The reversal of 10201610424 is 42401610201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201610424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201610429) 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 15 ways as a sum of consecutive naturals, for example, 2803134 + ... + 2806770.

Almost surely, 210201610424 is an apocalyptic number.

It is an amenable number.

10201610424 is an abundant number, since it is smaller than the sum of its proper divisors (15675047016).

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

10201610424 is a wasteful number, since it uses less digits than its factorization.

10201610424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 10201610424 in words is "ten billion, two hundred one million, six hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1601 1752 3202 3637 4803 6404 7274 9606 10911 12808 14548 19212 21822 29096 38424 43644 87288 116873 233746 265501 350619 467492 531002 701238 796503 934984 1062004 1402476 1593006 2124008 2804952 3186012 5822837 6372024 11645674 17468511 23291348 34937022 46582696 69874044 139748088 425067101 850134202 1275201303 1700268404 2550402606 3400536808 5100805212 10201610424