| Base | Representation |
|---|---|
| bin | 11101110111010101100100… |
| … | …101000001011001111000000 |
| 3 | 122020001120012100220102022200 |
| 4 | 131313111210220023033000 |
| 5 | 114203433234240213402 |
| 6 | 1143203320235033200 |
| 7 | 36444304245432534 |
| oct | 3567254450131700 |
| 9 | 566046170812280 |
| 10 | 131346083132352 |
| 11 | 3893a619819870 |
| 12 | 1289390159b800 |
| 13 | 5839b61ab697a |
| 14 | 2461281ba3bc4 |
| 15 | 102b92e06021c |
| hex | 777564a0b3c0 |
131346083132352 has 1344 divisors, whose sum is σ = 478769475824640. Its totient is φ = 33866720870400.
The previous prime is 131346083132321. The next prime is 131346083132353. The reversal of 131346083132352 is 253231380643131.
131346083132352 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 608 + 3 + 1 + 3 + 2 + 35 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 131346083132298 and 131346083132307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131346083132353) 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 191 ways as a sum of consecutive naturals, for example, 21699333358 + ... + 21699339410.
It is an arithmetic number, because the mean of its divisors is an integer number (356227288560).
Almost surely, 2131346083132352 is an apocalyptic number.
131346083132352 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 131346083132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239384737912320).
131346083132352 is an abundant number, since it is smaller than the sum of its proper divisors (347423392692288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131346083132352 is a wasteful number, since it uses less digits than its factorization.
131346083132352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6602 (or 6589 counting only the distinct ones).
The product of its (nonzero) digits is 933120, while the sum is 45.
The spelling of 131346083132352 in words is "one hundred thirty-one trillion, three hundred forty-six billion, eighty-three million, one hundred thirty-two thousand, three hundred fifty-two".
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