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100410566020 = 225101222122381
BaseRepresentation
bin101110110000011101…
…1111010010110000100
3100121011210012020221121
41131200323322112010
53121120101103040
6114043350523324
710153160504662
oct1354073722604
9317153166847
10100410566020
1139647168466
1217563366544
1396128b040b
144c077b5c32
15292a2d8c4a
hex1760efa584

100410566020 has 48 divisors (see below), whose sum is σ = 213055332336. Its totient is φ = 39746880000.

The previous prime is 100410565991. The next prime is 100410566041. The reversal of 100410566020 is 20665014001.

It can be written as a sum of positive squares in 8 ways, for example, as 12799301956 + 87611264064 = 113134^2 + 295992^2 .

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 15 ways as a sum of consecutive naturals, for example, 4475230 + ... + 4497610.

It is an arithmetic number, because the mean of its divisors is an integer number (4438652757).

Almost surely, 2100410566020 is an apocalyptic number.

100410566020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100410566020 is an abundant number, since it is smaller than the sum of its proper divisors (112644766316).

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

100410566020 is a wasteful number, since it uses less digits than its factorization.

100410566020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24712 (or 24710 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 100410566020 in words is "one hundred billion, four hundred ten million, five hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 2221 4442 8884 11105 22210 22381 44420 44762 89524 111905 223810 224321 447620 448642 897284 1121605 2243210 2260481 4486420 4520962 9041924 11302405 22604810 45209620 49708201 99416402 198832804 248541005 497082010 994164020 5020528301 10041056602 20082113204 25102641505 50205283010 100410566020