| Base | Representation |
|---|---|
| bin | 11101110110110110000111… |
| … | …101110010101101001000000 |
| 3 | 122012221100000210221220202000 |
| 4 | 131312312013232111221000 |
| 5 | 114202410103411241112 |
| 6 | 1143140013215024000 |
| 7 | 36442000336361100 |
| oct | 3566660756255100 |
| 9 | 565840023856660 |
| 10 | 131312312212032 |
| 11 | 38927269a36566 |
| 12 | 1288925780b000 |
| 13 | 583690c3c9593 |
| 14 | 245d79a9d7200 |
| 15 | 102ab043617dc |
| hex | 776d87b95a40 |
131312312212032 has 672 divisors, whose sum is σ = 468080851593600. Its totient is φ = 35958918352896.
The previous prime is 131312312211967. The next prime is 131312312212049. The reversal of 131312312212032 is 230212213213131.
131312312212032 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 231 + 221 + 203 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 131312312211987 and 131312312212005.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209589094 + ... + 210214682.
It is an arithmetic number, because the mean of its divisors is an integer number (696548886300).
Almost surely, 2131312312212032 is an apocalyptic number.
131312312212032 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 131312312212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234040425796800).
131312312212032 is an abundant number, since it is smaller than the sum of its proper divisors (336768539381568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131312312212032 is a wasteful number, since it uses less digits than its factorization.
131312312212032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 625728 (or 625705 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 131312312212032 its reverse (230212213213131), we get a palindrome (361524525425163).
The spelling of 131312312212032 in words is "one hundred thirty-one trillion, three hundred twelve billion, three hundred twelve million, two hundred twelve thousand, thirty-two".
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