Base | Representation |
---|---|
bin | 100001101001100110… |
… | …111100011100011100 |
3 | 10110021001220011201110 |
4 | 201221212330130130 |
5 | 1042444134230400 |
6 | 24333144342020 |
7 | 2416242102534 |
oct | 415146743434 |
9 | 113231804643 |
10 | 36131555100 |
11 | 14361359143 |
12 | 7004474910 |
13 | 353a7a2404 |
14 | 1a6a9004c4 |
15 | e1709ae50 |
hex | 8699bc71c |
36131555100 has 72 divisors (see below), whose sum is σ = 104782442800. Its totient is φ = 9612794880.
The previous prime is 36131555041. The next prime is 36131555177. The reversal of 36131555100 is 155513163.
36131555100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
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, 9175 + ... + 268974.
Almost surely, 236131555100 is an apocalyptic number.
36131555100 is a gapful number since it is divisible by the number (30) 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 36131555100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52391221400).
36131555100 is an abundant number, since it is smaller than the sum of its proper divisors (68650887700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36131555100 is a wasteful number, since it uses less digits than its factorization.
36131555100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 278599 (or 278592 counting only the distinct ones).
The product of its (nonzero) digits is 6750, while the sum is 30.
The spelling of 36131555100 in words is "thirty-six billion, one hundred thirty-one million, five hundred fifty-five thousand, one hundred".
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