| Base | Representation |
|---|---|
| bin | 111101011011100101… |
| … | …1100000100000000000 |
| 3 | 110121111220000111000000 |
| 4 | 1322313023200200000 |
| 5 | 4130134100003422 |
| 6 | 140334304000000 |
| 7 | 12350104521510 |
| oct | 1726713404000 |
| 9 | 417456014000 |
| 10 | 131922266112 |
| 11 | 50a4775310a |
| 12 | 21698600000 |
| 13 | c5952030c0 |
| 14 | 65568cb840 |
| 15 | 36719bdcac |
| hex | 1eb72e0800 |
131922266112 has 672 divisors, whose sum is σ = 487257301440. Its totient is φ = 34756853760.
The previous prime is 131922266057. The next prime is 131922266131. The reversal of 131922266112 is 211662229131.
131922266112 is a `hidden beast` number, since 1 + 3 + 19 + 2 + 2 + 26 + 611 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×1319222661122 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
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, 135861787 + ... + 135862757.
It is an arithmetic number, because the mean of its divisors is an integer number (725085270).
Almost surely, 2131922266112 is an apocalyptic number.
131922266112 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 131922266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243628650720).
131922266112 is an abundant number, since it is smaller than the sum of its proper divisors (355335035328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131922266112 is an frugal number, since it uses more digits than its factorization.
131922266112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1031 (or 996 counting only the distinct ones).
The product of its digits is 15552, while the sum is 36.
The spelling of 131922266112 in words is "one hundred thirty-one billion, nine hundred twenty-two million, two hundred sixty-six thousand, one hundred twelve".
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