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10032100120 = 235797136899
BaseRepresentation
bin10010101011111010…
…11011001100011000
3221220011011111012201
421111331123030120
5131021204200440
64335250415544
7503414305210
oct112575331430
927804144181
1010032100120
11428894a339
121b3b8915b4
13c3b549323
146b251b240
153daaee19a
hex255f5b318

10032100120 has 64 divisors (see below), whose sum is σ = 25824096000. Its totient is φ = 3435941760.

The previous prime is 10032100109. The next prime is 10032100147. The reversal of 10032100120 is 2100123001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10032100097 and 10032100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253431 + ... + 290329.

It is an arithmetic number, because the mean of its divisors is an integer number (403501500).

Almost surely, 210032100120 is an apocalyptic number.

10032100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032100120 is an abundant number, since it is smaller than the sum of its proper divisors (15791995880).

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

10032100120 is a wasteful number, since it uses less digits than its factorization.

10032100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37888 (or 37884 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10032100120 its reverse (2100123001), we get a palindrome (12132223121).

The spelling of 10032100120 in words is "ten billion, thirty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 971 1942 3884 4855 6797 7768 9710 13594 19420 27188 33985 36899 38840 54376 67970 73798 135940 147596 184495 258293 271880 295192 368990 516586 737980 1033172 1291465 1475960 2066344 2582930 5165860 10331720 35828929 71657858 143315716 179144645 250802503 286631432 358289290 501605006 716578580 1003210012 1254012515 1433157160 2006420024 2508025030 5016050060 10032100120