| Base | Representation |
|---|---|
| bin | 11101110101001110110000… |
| … | …001010000111110100011000 |
| 3 | 122012112201112200020012221210 |
| 4 | 131311032300022013310120 |
| 5 | 114144100301241400032 |
| 6 | 1143013015513303120 |
| 7 | 36430661024340066 |
| oct | 3565166012076430 |
| 9 | 565481480205853 |
| 10 | 131201321434392 |
| 11 | 388941935a1560 |
| 12 | 1286b841104aa0 |
| 13 | 5829301871121 |
| 14 | 245826bdc7036 |
| 15 | 1027caa2aa2cc |
| hex | 7753b0287d18 |
131201321434392 has 256 divisors, whose sum is σ = 371091190579200. Its totient is φ = 38295693504000.
The previous prime is 131201321434363. The next prime is 131201321434397. The reversal of 131201321434392 is 293434123102131.
It is a super-2 number, since 2×1312013214343922 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 131201321434392.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131201321434397) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7509654217 + ... + 7509671687.
It is an arithmetic number, because the mean of its divisors is an integer number (1449574963200).
Almost surely, 2131201321434392 is an apocalyptic number.
131201321434392 is a gapful number since it is divisible by the number (12) 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 131201321434392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185545595289600).
131201321434392 is an abundant number, since it is smaller than the sum of its proper divisors (239889869144808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131201321434392 is a wasteful number, since it uses less digits than its factorization.
131201321434392 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21758 (or 21754 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 39.
The spelling of 131201321434392 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, four hundred thirty-four thousand, three hundred ninety-two".
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