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12302321031 = 327111321737167
BaseRepresentation
bin10110111010100011…
…01000010110000111
31011202100222122211200
423131101220112013
5200143343233111
65352425233543
7613602001110
oct133521502607
934670878750
1012302321031
115243380970
1224740328b3
131210995c00
14849c37207
154c008c256
hex2dd468587

12302321031 has 288 divisors, whose sum is σ = 26244062208. Its totient is φ = 5369794560.

The previous prime is 12302321011. The next prime is 12302321047. The reversal of 12302321031 is 13012320321.

12302321031 is a `hidden beast` number, since 12 + 302 + 321 + 0 + 31 = 666.

12302321031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12302321031 - 26 = 12302320967 is a prime.

It is a super-2 number, since 2×123023210312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12302320995 and 12302321013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302321011) 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 287 ways as a sum of consecutive naturals, for example, 73666510 + ... + 73666676.

It is an arithmetic number, because the mean of its divisors is an integer number (91125216).

Almost surely, 212302321031 is an apocalyptic number.

12302321031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12302321031 is an abundant number, since it is smaller than the sum of its proper divisors (13941741177).

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

12302321031 is a wasteful number, since it uses less digits than its factorization.

12302321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12302321031 its reverse (13012320321), we get a palindrome (25314641352).

It can be divided in two parts, 12302 and 321031, that added together give a palindrome (333333).

The spelling of 12302321031 in words is "twelve billion, three hundred two million, three hundred twenty-one thousand, thirty-one".