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131403233000000 = 26561313972719
BaseRepresentation
bin11101111000001010110011…
…000001100111101001000000
3122020021000201020110111111102
4131320022303001213221000
5114210402310122000000
61143245451211033532
736451366416333503
oct3570126301475100
9566230636414442
10131403233000000
1138961886398245
12128a29b0a3b8a8
13584236bc131c0
142463d43d0313a
15102d1764743d5
hex7782b3067a40

131403233000000 has 392 divisors, whose sum is σ = 353539662134400. Its totient is φ = 48168403200000.

The previous prime is 131403232999939. The next prime is 131403233000021. The reversal of 131403233000000 is 332304131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1806963641 + ... + 1807036359.

It is an arithmetic number, because the mean of its divisors is an integer number (901886893200).

Almost surely, 2131403233000000 is an apocalyptic number.

131403233000000 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 131403233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176769831067200).

131403233000000 is an abundant number, since it is smaller than the sum of its proper divisors (222136429134400).

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

131403233000000 is an frugal number, since it uses more digits than its factorization.

131403233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72913 (or 72878 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131403233000000 its reverse (332304131), we get a palindrome (131403565304131).

The spelling of 131403233000000 in words is "one hundred thirty-one trillion, four hundred three billion, two hundred thirty-three million", and thus it is an aban number.