| Base | Representation |
|---|---|
| bin | 111101011101010011… |
| … | …1000011001101001000 |
| 3 | 110121122220022102002000 |
| 4 | 1322322213003031020 |
| 5 | 4130243313132200 |
| 6 | 140344121311000 |
| 7 | 12351403640625 |
| oct | 1727247031510 |
| 9 | 417586272060 |
| 10 | 131979817800 |
| 11 | 50a77191596 |
| 12 | 216b3935460 |
| 13 | c5a410385c |
| 14 | 65603cd34c |
| 15 | 3676a8b300 |
| hex | 1eba9c3348 |
131979817800 has 384 divisors, whose sum is σ = 495035280000. Its totient is φ = 32191810560.
The previous prime is 131979817759. The next prime is 131979817807. The reversal of 131979817800 is 8718979131.
131979817800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (131979817807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2953222 + ... + 2997578.
It is an arithmetic number, because the mean of its divisors is an integer number (1289154375).
Almost surely, 2131979817800 is an apocalyptic number.
131979817800 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 131979817800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247517640000).
131979817800 is an abundant number, since it is smaller than the sum of its proper divisors (363055462200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131979817800 is a wasteful number, since it uses less digits than its factorization.
131979817800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44430 (or 44415 counting only the distinct ones).
The product of its (nonzero) digits is 762048, while the sum is 54.
The spelling of 131979817800 in words is "one hundred thirty-one billion, nine hundred seventy-nine million, eight hundred seventeen thousand, eight hundred".
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