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10133032032 = 2532140924971
BaseRepresentation
bin10010110111111100…
…11100110001100000
3222011012002100202200
421123332130301200
5131223024011112
64353254013200
7506051231304
oct113376346140
928135070680
1010133032032
11432a917a42
121b69647200
13c56428056
146c1ab1d04
153e48d9cdc
hex25bf9cc60

10133032032 has 72 divisors (see below), whose sum is σ = 28837415880. Its totient is φ = 3375144960.

The previous prime is 10133032003. The next prime is 10133032097. The reversal of 10133032032 is 23023033101.

10133032032 is a `hidden beast` number, since 10 + 1 + 330 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10133031996 and 10133032014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393307 + ... + 418277.

It is an arithmetic number, because the mean of its divisors is an integer number (400519665).

Almost surely, 210133032032 is an apocalyptic number.

10133032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133032032 is an abundant number, since it is smaller than the sum of its proper divisors (18704383848).

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

10133032032 is a wasteful number, since it uses less digits than its factorization.

10133032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26396 (or 26385 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10133032032 its reverse (23023033101), we get a palindrome (33156065133).

The spelling of 10133032032 in words is "ten billion, one hundred thirty-three million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1409 2818 4227 5636 8454 11272 12681 16908 22544 24971 25362 33816 45088 49942 50724 67632 74913 99884 101448 135264 149826 199768 202896 224739 299652 399536 405792 449478 599304 799072 898956 1198608 1797912 2397216 3595824 7191648 35184139 70368278 105552417 140736556 211104834 281473112 316657251 422209668 562946224 633314502 844419336 1125892448 1266629004 1688838672 2533258008 3377677344 5066516016 10133032032