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12312232101 = 3213434924197
BaseRepresentation
bin10110111011101110…
…11100000010100101
31011210001122012021100
423131313130002211
5200203412411401
65353421510313
7614052150261
oct133567340245
934701565240
1012312232101
115248a30234
122477412399
131212a56150
1484b2970a1
154c0d98b86
hex2ddddc0a5

12312232101 has 24 divisors (see below), whose sum is σ = 19157556600. Its totient is φ = 7574702976.

The previous prime is 12312232091. The next prime is 12312232103. The reversal of 12312232101 is 10123221321.

12312232101 is a `hidden beast` number, since 1 + 231 + 223 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 814817025 + 11497415076 = 28545^2 + 107226^2 .

It is not a de Polignac number, because 12312232101 - 214 = 12312215717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312232103) 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, 496735 + ... + 520931.

It is an arithmetic number, because the mean of its divisors is an integer number (798231525).

Almost surely, 212312232101 is an apocalyptic number.

It is an amenable number.

12312232101 is a deficient number, since it is larger than the sum of its proper divisors (6845324499).

12312232101 is a wasteful number, since it uses less digits than its factorization.

12312232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28565 (or 28562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312232101 its reverse (10123221321), we get a palindrome (22435453422).

The spelling of 12312232101 in words is "twelve billion, three hundred twelve million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 13 39 117 4349 13047 24197 39141 56537 72591 169611 217773 314561 508833 943683 2831049 105232753 315698259 947094777 1368025789 4104077367 12312232101