Base | Representation |
---|---|
bin | 110100110011000000… |
… | …1001011100100010000 |
3 | 101211122200212010021200 |
4 | 1221212001023210100 |
5 | 3324200432011443 |
6 | 124030354351200 |
7 | 11122452230304 |
oct | 1514601134420 |
9 | 354580763250 |
10 | 113380735248 |
11 | 440a2518590 |
12 | 19b82b8b500 |
13 | a8cba39171 |
14 | 56b81b7d04 |
15 | 2e38ce6dd3 |
hex | 1a6604b910 |
113380735248 has 120 divisors (see below), whose sum is σ = 346706458176. Its totient is φ = 34303046400.
The previous prime is 113380735229. The next prime is 113380735271. The reversal of 113380735248 is 842537083311.
113380735248 is a `hidden beast` number, since 1 + 1 + 338 + 0 + 73 + 5 + 248 = 666.
113380735248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1133807352482 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942786 + ... + 1056222.
Almost surely, 2113380735248 is an apocalyptic number.
113380735248 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 113380735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173353229088).
113380735248 is an abundant number, since it is smaller than the sum of its proper divisors (233325722928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113380735248 is a wasteful number, since it uses less digits than its factorization.
113380735248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114093 (or 114084 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 113380735248 in words is "one hundred thirteen billion, three hundred eighty million, seven hundred thirty-five thousand, two hundred forty-eight".
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