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10032031104 = 27377333797
BaseRepresentation
bin10010101011111010…
…01010010110000000
3221220011000222112120
421111331022112000
5131021144443404
64335245124240
7503413600044
oct112575122600
927804028476
1010032031104
1142889024a7
121b3b859680
13c3b523aa4
146b2500024
153daad89d9
hex255f4a580

10032031104 has 64 divisors (see below), whose sum is σ = 26682845040. Its totient is φ = 3339585536.

The previous prime is 10032031067. The next prime is 10032031133. The reversal of 10032031104 is 40113023001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279934 + ... + 313730.

Almost surely, 210032031104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341422520).

10032031104 is an abundant number, since it is smaller than the sum of its proper divisors (16650813936).

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

10032031104 is an equidigital number, since it uses as much as digits as its factorization.

10032031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34587 (or 34575 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032031104 its reverse (40113023001), we get a palindrome (50145054105).

The spelling of 10032031104 in words is "ten billion, thirty-two million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 773 1546 2319 3092 4638 6184 9276 12368 18552 24736 33797 37104 49472 67594 74208 98944 101391 135188 148416 202782 270376 296832 405564 540752 811128 1081504 1622256 2163008 3244512 4326016 6489024 12978048 26125081 52250162 78375243 104500324 156750486 209000648 313500972 418001296 627001944 836002592 1254003888 1672005184 2508007776 3344010368 5016015552 10032031104