Search a number
-
+
10001013232 = 2471741128113
BaseRepresentation
bin10010101000001101…
…10101100111110000
3221210222200010000111
421110012311213300
5130440224410412
64332220231104
7502556131660
oct112406654760
927728603014
1010001013232
1142723472a1
121b3139b494
13c34c83712
146ac3481a0
153d800d2a7
hex2541b59f0

10001013232 has 80 divisors (see below), whose sum is σ = 24019837632. Its totient is φ = 3935600640.

The previous prime is 10001013179. The next prime is 10001013271. The reversal of 10001013232 is 23231010001.

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, 14008 + ... + 142120.

Almost surely, 210001013232 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 10001013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009918816).

10001013232 is an abundant number, since it is smaller than the sum of its proper divisors (14018824400).

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

10001013232 is a wasteful number, since it uses less digits than its factorization.

10001013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128186 (or 128180 counting only the distinct ones).

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

Adding to 10001013232 its reverse (23231010001), we get a palindrome (33232023233).

The spelling of 10001013232 in words is "ten billion, one million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 112 119 136 164 238 272 287 328 476 574 656 697 952 1148 1394 1904 2296 2788 4592 4879 5576 9758 11152 19516 39032 78064 128113 256226 512452 896791 1024904 1793582 2049808 2177921 3587164 4355842 5252633 7174328 8711684 10505266 14348656 15245447 17423368 21010532 30490894 34846736 36768431 42021064 60981788 73536862 84042128 89294761 121963576 147073724 178589522 243927152 294147448 357179044 588294896 625063327 714358088 1250126654 1428716176 2500253308 5000506616 10001013232