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10032031120 = 245125400389
BaseRepresentation
bin10010101011111010…
…01010010110010000
3221220011000222120011
421111331022112100
5131021144443440
64335245124304
7503413600066
oct112575122620
927804028504
1010032031120
114288902511
121b3b859694
13c3b523ab7
146b2500036
153daad89ea
hex255f4a590

10032031120 has 20 divisors (see below), whose sum is σ = 23324472540. Its totient is φ = 4012812416.

The previous prime is 10032031067. The next prime is 10032031133. The reversal of 10032031120 is 2113023001.

It can be written as a sum of positive squares in 2 ways, for example, as 6900957184 + 3131073936 = 83072^2 + 55956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 10032031120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62700115 + ... + 62700274.

It is an arithmetic number, because the mean of its divisors is an integer number (1166223627).

Almost surely, 210032031120 is an apocalyptic number.

10032031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032031120 is an abundant number, since it is smaller than the sum of its proper divisors (13292441420).

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

10032031120 is a wasteful number, since it uses less digits than its factorization.

10032031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125400402 (or 125400396 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10032031120 its reverse (2113023001), we get a palindrome (12145054121).

The spelling of 10032031120 in words is "ten billion, thirty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 125400389 250800778 501601556 627001945 1003203112 1254003890 2006406224 2508007780 5016015560 10032031120