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10088478120 = 2335712010093
BaseRepresentation
bin10010110010101000…
…11111010110101000
3222001002020210021210
421121110133112220
5131130122244440
64345023033120
7505000435440
oct113124372650
928032223253
1010088478120
114307756a26
121b5673b7a0
13c4a1287a6
146b9bd5120
153e0a38a80
hex25951f5a8

10088478120 has 64 divisors (see below), whose sum is σ = 34589070720. Its totient is φ = 2305937664.

The previous prime is 10088478083. The next prime is 10088478131. The reversal of 10088478120 is 2187488001.

It is a happy number.

10088478120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6004207 + ... + 6005886.

It is an arithmetic number, because the mean of its divisors is an integer number (540454230).

Almost surely, 210088478120 is an apocalyptic number.

10088478120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10088478120 is an abundant number, since it is smaller than the sum of its proper divisors (24500592600).

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

10088478120 is a wasteful number, since it uses less digits than its factorization.

10088478120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010114 (or 12010110 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The spelling of 10088478120 in words is "ten billion, eighty-eight million, four hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12010093 24020186 36030279 48040372 60050465 72060558 84070651 96080744 120100930 144121116 168141302 180151395 240201860 252211953 288242232 336282604 360302790 420353255 480403720 504423906 672565208 720605580 840706510 1008847812 1261059765 1441211160 1681413020 2017695624 2522119530 3362826040 5044239060 10088478120