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12132032231 = 11293710110177
BaseRepresentation
bin10110100110010000…
…00001111011100111
31011022111120002112002
423103020001323213
5144321300012411
65323503315515
7606433400234
oct132310017347
934274502462
1012132032231
115166241420
122426babb9b
1311b46122c7
1483138a78b
154b015133b
hex2d3201ee7

12132032231 has 32 divisors (see below), whose sum is σ = 14201974080. Its totient is φ = 10257408000.

The previous prime is 12132032191. The next prime is 12132032233. The reversal of 12132032231 is 13223023121.

12132032231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12132032231 - 210 = 12132031207 is a prime.

It is a super-2 number, since 2×121320322312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132032233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187015 + ... + 1197191.

It is an arithmetic number, because the mean of its divisors is an integer number (443811690).

Almost surely, 212132032231 is an apocalyptic number.

12132032231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12132032231 is a deficient number, since it is larger than the sum of its proper divisors (2069941849).

12132032231 is a wasteful number, since it uses less digits than its factorization.

12132032231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12132032231 its reverse (13223023121), we get a palindrome (25355055352).

The spelling of 12132032231 in words is "twelve billion, one hundred thirty-two million, thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 29 37 101 319 407 1073 1111 2929 3737 10177 11803 32219 41107 108373 111947 295133 376549 1027877 1192103 3246463 4142039 10919921 11306647 29808433 38031449 120119131 327892763 418345939 1102912021 12132032231