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12331312032 = 2531317581227
BaseRepresentation
bin10110111110000000…
…01110001110100000
31011211101112120000110
423133000032032200
5200223303441112
65355342451320
7614403265014
oct133700161640
934741476013
1012331312032
115258782276
122481893b40
1312169a6850
1484da22544
154c28b713c
hex2df00e3a0

12331312032 has 96 divisors (see below), whose sum is σ = 36910302912. Its totient is φ = 3571052544.

The previous prime is 12331312009. The next prime is 12331312033. The reversal of 12331312032 is 23021313321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123313120322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12331312033) 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, 269398 + ... + 311829.

It is an arithmetic number, because the mean of its divisors is an integer number (384482322).

Almost surely, 212331312032 is an apocalyptic number.

12331312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331312032 is an abundant number, since it is smaller than the sum of its proper divisors (24578990880).

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

12331312032 is a wasteful number, since it uses less digits than its factorization.

12331312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581270 (or 581262 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12331312032 its reverse (23021313321), we get a palindrome (35352625353).

The spelling of 12331312032 in words is "twelve billion, three hundred thirty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 581227 1162454 1743681 2324908 3487362 4649816 6974724 7555951 9299632 9880859 13949448 15111902 18599264 19761718 22667853 27898896 29642577 30223804 39523436 45335706 55797792 59285154 60447608 79046872 90671412 118570308 120895216 128451167 158093744 181342824 237140616 241790432 256902334 316187488 362685648 385353501 474281232 513804668 725371296 770707002 948562464 1027609336 1541414004 2055218672 3082828008 4110437344 6165656016 12331312032