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10032113144 = 2329596710939
BaseRepresentation
bin10010101011111010…
…11110010111111000
3221220011012011002002
421111331132113320
5131021210110034
64335251000132
7503414361164
oct112575362770
927804164062
1010032113144
1142889590a9
121b3b899048
13c3b552231
146b2521ca4
153dab02e7e
hex255f5e5f8

10032113144 has 64 divisors (see below), whose sum is σ = 20085840000. Its totient is φ = 4689514368.

The previous prime is 10032113123. The next prime is 10032113207. The reversal of 10032113144 is 44131123001.

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, 911627 + ... + 922565.

It is an arithmetic number, because the mean of its divisors is an integer number (313841250).

Almost surely, 210032113144 is an apocalyptic number.

It is an amenable number.

10032113144 is an abundant number, since it is smaller than the sum of its proper divisors (10053726856).

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

10032113144 is a wasteful number, since it uses less digits than its factorization.

10032113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 11096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10032113144 its reverse (44131123001), we get a palindrome (54163236145).

The spelling of 10032113144 in words is "ten billion, thirty-two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 29 58 59 67 116 118 134 232 236 268 472 536 1711 1943 3422 3886 3953 6844 7772 7906 10939 13688 15544 15812 21878 31624 43756 87512 114637 229274 317231 458548 634462 645401 732913 917096 1268924 1290802 1465826 2537848 2581604 2931652 5163208 5863304 18716629 21254477 37433258 42508954 43241867 74866516 85017908 86483734 149733032 170035816 172967468 345934936 1254014143 2508028286 5016056572 10032113144