Base | Representation |
---|---|
bin | 1111100111100… |
… | …01110000000000 |
3 | 100010112011220202 |
4 | 13303301300000 |
5 | 232014414012 |
6 | 21000024332 |
7 | 3150411641 |
oct | 763616000 |
9 | 303464822 |
10 | 131013632 |
11 | 67a54532 |
12 | 37a620a8 |
13 | 211b1c79 |
14 | 135856c8 |
15 | b77dcc2 |
hex | 7cf1c00 |
131013632 has 44 divisors (see below), whose sum is σ = 264799920. Its totient is φ = 64782336.
The previous prime is 131013629. The next prime is 131013637. The reversal of 131013632 is 236310131.
It is a happy number.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131013637) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98669 + ... + 99987.
It is an arithmetic number, because the mean of its divisors is an integer number (6018180).
Almost surely, 2131013632 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 131013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132399960).
131013632 is an abundant number, since it is smaller than the sum of its proper divisors (133786288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131013632 is an equidigital number, since it uses as much as digits as its factorization.
131013632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1436 (or 1418 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
The square root of 131013632 is about 11446.1186434529. The cubic root of 131013632 is about 507.8929238847.
Adding to 131013632 its reverse (236310131), we get a palindrome (367323763).
The spelling of 131013632 in words is "one hundred thirty-one million, thirteen thousand, six hundred thirty-two".
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