Base | Representation |
---|---|
bin | 111000111100111000… |
… | …0111100111101110000 |
3 | 102200200102201022001000 |
4 | 1301321300330331300 |
5 | 4000433300210143 |
6 | 132103523242000 |
7 | 11556520336122 |
oct | 1617160747560 |
9 | 380612638030 |
10 | 122301960048 |
11 | 479602a4844 |
12 | 1b852819300 |
13 | b6c10976c8 |
14 | 5cc2d65212 |
15 | 32ac112bd3 |
hex | 1c79c3cf70 |
122301960048 has 160 divisors (see below), whose sum is σ = 371901196800. Its totient is φ = 38348688384.
The previous prime is 122301959987. The next prime is 122301960071. The reversal of 122301960048 is 840069103221.
122301960048 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 1 + 9 + 600 + 48 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 122301959994 and 122301960021.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19524565 + ... + 19530827.
It is an arithmetic number, because the mean of its divisors is an integer number (2324382480).
Almost surely, 2122301960048 is an apocalyptic number.
122301960048 is a gapful number since it is divisible by the number (18) 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 122301960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185950598400).
122301960048 is an abundant number, since it is smaller than the sum of its proper divisors (249599236752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122301960048 is a wasteful number, since it uses less digits than its factorization.
122301960048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8956 (or 8944 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 122301960048 in words is "one hundred twenty-two billion, three hundred one million, nine hundred sixty thousand, forty-eight".
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