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11332112233032 = 23321392980337993
BaseRepresentation
bin1010010011100111011010…
…0001100011001001001000
31111010100011101102011102200
42210321312201203021020
52441131131212424112
640033522301200200
72246501206451433
oct244716641431110
944110141364380
1011332112233032
113679a15a23178
1213302a5560060
136427c90c9986
142b269747481a
15149b93123cdc
hexa4e76863248

11332112233032 has 96 divisors (see below), whose sum is σ = 30913787704800. Its totient is φ = 3749970878208.

The previous prime is 11332112233003. The next prime is 11332112233037. The reversal of 11332112233032 is 23033221123311.

11332112233032 is a `hidden beast` number, since 1 + 1 + 3 + 321 + 1 + 2 + 2 + 330 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11332112232987 and 11332112233005.

It is not an unprimeable number, because it can be changed into a prime (11332112233037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298249428 + ... + 298287420.

It is an arithmetic number, because the mean of its divisors is an integer number (322018621925).

Almost surely, 211332112233032 is an apocalyptic number.

11332112233032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332112233032 is an abundant number, since it is smaller than the sum of its proper divisors (19581675471768).

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

11332112233032 is a wasteful number, since it uses less digits than its factorization.

11332112233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67947 (or 67940 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11332112233032 its reverse (23033221123311), we get a palindrome (34365333356343).

The spelling of 11332112233032 in words is "eleven trillion, three hundred thirty-two billion, one hundred twelve million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 29803 37993 59606 75986 89409 113979 119212 151972 178818 227958 238424 268227 303944 341937 357636 455916 536454 683874 715272 911832 1072908 1367748 2145816 2735496 4142617 5281027 8285234 10562054 12427851 15843081 16570468 21124108 24855702 31686162 33140936 37283553 42248216 47529243 49711404 63372324 74567106 95058486 99422808 126744648 149134212 190116972 298268424 380233944 1132305379 2264610758 3396916137 4529221516 6793832274 9058443032 10190748411 13587664548 20381496822 27175329096 40762993644 81525987288 157390447681 314780895362 472171343043 629561790724 944342686086 1259123581448 1416514029129 1888685372172 2833028058258 3777370744344 5666056116516 11332112233032