Base | Representation |
---|---|
bin | 111101000000001111… |
… | …0111111000101001000 |
3 | 110112010221022111100110 |
4 | 1322000132333011020 |
5 | 4121244141001344 |
6 | 140103243434320 |
7 | 12315262640604 |
oct | 1720036770510 |
9 | 415127274313 |
10 | 131004625224 |
11 | 50616771a10 |
12 | 214812259a0 |
13 | c47a071025 |
14 | 64aaa9c504 |
15 | 361b15a3b9 |
hex | 1e807bf148 |
131004625224 has 128 divisors (see below), whose sum is σ = 358740264960. Its totient is φ = 39537120000.
The previous prime is 131004625223. The next prime is 131004625229. The reversal of 131004625224 is 422526400131.
It is a junction number, because it is equal to n+sod(n) for n = 131004625191 and 131004625200.
It is not an unprimeable number, because it can be changed into a prime (131004625223) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106420689 + ... + 106421919.
It is an arithmetic number, because the mean of its divisors is an integer number (2802658320).
Almost surely, 2131004625224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131004625224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179370132480).
131004625224 is an abundant number, since it is smaller than the sum of its proper divisors (227735639736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131004625224 is a wasteful number, since it uses less digits than its factorization.
131004625224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2563 (or 2559 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The spelling of 131004625224 in words is "one hundred thirty-one billion, four million, six hundred twenty-five thousand, two hundred twenty-four".
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