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12313131110000 = 24547217286951
BaseRepresentation
bin1011001100101101111111…
…0011100100111001110000
31121121010100021111122002222
42303023133303210321300
53103214243031010000
642104324020300212
72410410603355400
oct263133763447160
947533307448088
1012313131110000
113a17a73566426
12146a44a841668
136b417ab06c66
14307d5ca58800
1516545d2cda85
hexb32dfce4e70

12313131110000 has 450 divisors, whose sum is σ = 36838805065128. Its totient is φ = 3973267200000.

The previous prime is 12313131109967. The next prime is 12313131110003. The reversal of 12313131110000 is 1113131321.

It is a super-2 number, since 2×123131311100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313131110003) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 141566525 + ... + 141653475.

Almost surely, 212313131110000 is an apocalyptic number.

12313131110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313131110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419402532564).

12313131110000 is an abundant number, since it is smaller than the sum of its proper divisors (24525673955128).

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

12313131110000 is an equidigital number, since it uses as much as digits as its factorization.

12313131110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87027 (or 86982 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12313131110000 its reverse (1113131321), we get a palindrome (12314244241321).

The spelling of 12313131110000 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-one million, one hundred ten thousand".