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12323032131000 = 2335317475141023
BaseRepresentation
bin1011001101010010110111…
…1100111110010110111000
31121122001220022000121120110
42303110231330332112320
53103400032211143000
642113042305424320
72411211136560003
oct263245574762670
947561808017513
1012323032131000
113a21194417008
12147035263b0a0
136b509814a576
1430861b9b453a
1516583c639850
hexb352df3e5b8

12323032131000 has 256 divisors, whose sum is σ = 41575666728960. Its totient is φ = 3027033753600.

The previous prime is 12323032130999. The next prime is 12323032131043. The reversal of 12323032131000 is 13123032321.

It is a super-2 number, since 2×123230321310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173512 + ... + 4967511.

It is an arithmetic number, because the mean of its divisors is an integer number (162404948160).

Almost surely, 212323032131000 is an apocalyptic number.

12323032131000 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 12323032131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787833364480).

12323032131000 is an abundant number, since it is smaller than the sum of its proper divisors (29252634597960).

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

12323032131000 is a wasteful number, since it uses less digits than its factorization.

12323032131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141111 (or 5141097 counting only the distinct ones).

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

Adding to 12323032131000 its reverse (13123032321), we get a palindrome (12336155163321).

The spelling of 12323032131000 in words is "twelve trillion, three hundred twenty-three billion, thirty-two million, one hundred thirty-one thousand".