| Base | Representation |
|---|---|
| bin | 110001101100110111… |
| … | …0000000100010110000 |
| 3 | 101012111022221220122000 |
| 4 | 1203121232000202300 |
| 5 | 3222041333304244 |
| 6 | 121010523414000 |
| 7 | 10465626310620 |
| oct | 1433156004260 |
| 9 | 335438856560 |
| 10 | 106731931824 |
| 11 | 412a0436121 |
| 12 | 18828384300 |
| 13 | a0ac417c5b |
| 14 | 524715a880 |
| 15 | 2b9a251169 |
| hex | 18d9b808b0 |
106731931824 has 320 divisors, whose sum is σ = 371480985600. Its totient is φ = 28660407552.
The previous prime is 106731931819. The next prime is 106731931829. The reversal of 106731931824 is 428139137601.
106731931824 is a `hidden beast` number, since 10 + 6 + 7 + 319 + 318 + 2 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (106731931819) and next prime (106731931829).
It is a super-2 number, since 2×1067319318242 (a number of 23 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 106731931824.
It is not an unprimeable number, because it can be changed into a prime (106731931829) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7289599 + ... + 7304225.
It is an arithmetic number, because the mean of its divisors is an integer number (1160878080).
Almost surely, 2106731931824 is an apocalyptic number.
106731931824 is a gapful number since it is divisible by the number (14) 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 106731931824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185740492800).
106731931824 is an abundant number, since it is smaller than the sum of its proper divisors (264749053776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106731931824 is a wasteful number, since it uses less digits than its factorization.
106731931824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14797 (or 14785 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The spelling of 106731931824 in words is "one hundred six billion, seven hundred thirty-one million, nine hundred thirty-one thousand, eight hundred twenty-four".
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