| Base | Representation |
|---|---|
| bin | 10011110010010111… |
| … | …11111101000000000 |
| 3 | 1000102100021111201000 |
| 4 | 21321023333220000 |
| 5 | 133224004400140 |
| 6 | 4514042212000 |
| 7 | 524152021635 |
| oct | 117113775000 |
| 9 | 30370244630 |
| 10 | 10623121920 |
| 11 | 4561525804 |
| 12 | 20857b4000 |
| 13 | 1003b20478 |
| 14 | 72ac0818c |
| 15 | 422946a30 |
| hex | 2792ffa00 |
10623121920 has 320 divisors, whose sum is σ = 39725136000. Its totient is φ = 2683404288.
The previous prime is 10623121913. The next prime is 10623121931. The reversal of 10623121920 is 2912132601.
10623121920 is a `hidden beast` number, since 1 + 0 + 623 + 1 + 2 + 19 + 20 = 666.
10623121920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×106231219202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309236 + ... + 1317324.
It is an arithmetic number, because the mean of its divisors is an integer number (124141050).
Almost surely, 210623121920 is an apocalyptic number.
10623121920 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 10623121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19862568000).
10623121920 is an abundant number, since it is smaller than the sum of its proper divisors (29102014080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10623121920 is an equidigital number, since it uses as much as digits as its factorization.
10623121920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8140 (or 8118 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The spelling of 10623121920 in words is "ten billion, six hundred twenty-three million, one hundred twenty-one thousand, nine hundred twenty".
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