Base | Representation |
---|---|
bin | 110100111101000111… |
… | …0001111111000010000 |
3 | 101212112022200120111210 |
4 | 1221322032033320100 |
5 | 3330344221030404 |
6 | 124124143540120 |
7 | 11134036354515 |
oct | 1517216177020 |
9 | 355468616453 |
10 | 113719705104 |
11 | 44256899665 |
12 | 1a0585ba640 |
13 | a95402c945 |
14 | 570b21330c |
15 | 2e58952689 |
hex | 1a7a38fe10 |
113719705104 has 160 divisors (see below), whose sum is σ = 311148085248. Its totient is φ = 35731584000.
The previous prime is 113719705093. The next prime is 113719705109. The reversal of 113719705104 is 401507917311.
It is not an unprimeable number, because it can be changed into a prime (113719705109) 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 31 ways as a sum of consecutive naturals, for example, 53869009 + ... + 53871119.
Almost surely, 2113719705104 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 113719705104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155574042624).
113719705104 is an abundant number, since it is smaller than the sum of its proper divisors (197428380144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113719705104 is a wasteful number, since it uses less digits than its factorization.
113719705104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).
The product of its (nonzero) digits is 26460, while the sum is 39.
The spelling of 113719705104 in words is "one hundred thirteen billion, seven hundred nineteen million, seven hundred five thousand, one hundred four".
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