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10011201221232 = 2433187112385931
BaseRepresentation
bin1001000110101110101000…
…0101111011001001110000
31022110001122211022020201000
42101223222011323021300
52303010420003034412
633143025442042000
72052166620222051
oct221535205731160
938401584266630
1010011201221232
11320a7aa109352
1211582a3049300
1357808a976c93
1426878aa1c728
151256334cd4dc
hex91aea17b270

10011201221232 has 80 divisors (see below), whose sum is σ = 28751216232960. Its totient is φ = 3335283230400.

The previous prime is 10011201221201. The next prime is 10011201221233. The reversal of 10011201221232 is 23212210211001.

10011201221232 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 201 + 221 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011201221233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5384694 + ... + 7001237.

It is an arithmetic number, because the mean of its divisors is an integer number (359390202912).

Almost surely, 210011201221232 is an apocalyptic number.

10011201221232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011201221232 is an abundant number, since it is smaller than the sum of its proper divisors (18740015011728).

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

10011201221232 is a wasteful number, since it uses less digits than its factorization.

10011201221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12387819 (or 12387807 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011201221232 its reverse (23212210211001), we get a palindrome (33223411432233).

The spelling of 10011201221232 in words is "ten trillion, eleven billion, two hundred one million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1871 3742 5613 7484 11226 14968 16839 22452 29936 33678 44904 50517 67356 89808 101034 134712 202068 269424 404136 808272 12385931 24771862 37157793 49543724 74315586 99087448 111473379 148631172 198174896 222946758 297262344 334420137 445893516 594524688 668840274 891787032 1337680548 1783574064 2675361096 5350722192 23174076901 46348153802 69522230703 92696307604 139044461406 185392615208 208566692109 278088922812 370785230416 417133384218 556177845624 625700076327 834266768436 1112355691248 1251400152654 1668533536872 2502800305308 3337067073744 5005600610616 10011201221232