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131342200000000 = 295811227263
BaseRepresentation
bin11101110111010001111101…
…001011001100111000000000
3122020001012011202002212010221
4131313101331023030320000
5114203402311200000000
61143201435042032424
736444106104363133
oct3567217513147000
9566035152085127
10131342200000000
1138938a068a7a80
1212892bb9048714
135839693463512
142460dd419221a
15102b7a31c261a
hex77747d2cce00

131342200000000 has 720 divisors, whose sum is σ = 360799127770752. Its totient is φ = 47369600000000.

The previous prime is 131342199999979. The next prime is 131342200000027. The reversal of 131342200000000 is 2243131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 131342200000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499399999869 + ... + 499400000131.

Almost surely, 2131342200000000 is an apocalyptic number.

131342200000000 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 131342200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180399563885376).

131342200000000 is an abundant number, since it is smaller than the sum of its proper divisors (229456927770752).

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

131342200000000 is an frugal number, since it uses more digits than its factorization.

131342200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 131342200000000 its reverse (2243131), we get a palindrome (131342202243131).

The spelling of 131342200000000 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred million", and thus it is an aban number.