Base | Representation |
---|---|
bin | 110010000111… |
… | …010011001110 |
3 | 220201102201100 |
4 | 302013103032 |
5 | 11330341402 |
6 | 1145323530 |
7 | 216443406 |
oct | 62072316 |
9 | 26642640 |
10 | 13137102 |
11 | 7463110 |
12 | 44965a6 |
13 | 294c744 |
14 | 1a5d806 |
15 | 124771c |
hex | c874ce |
13137102 has 48 divisors (see below), whose sum is σ = 31794048. Its totient is φ = 3885840.
The previous prime is 13137079. The next prime is 13137119. The reversal of 13137102 is 20173131.
13137102 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 (18).
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, 7743 + ... + 9285.
It is an arithmetic number, because the mean of its divisors is an integer number (662376).
Almost surely, 213137102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13137102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897024).
13137102 is an abundant number, since it is smaller than the sum of its proper divisors (18656946).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13137102 is a wasteful number, since it uses less digits than its factorization.
13137102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1605 (or 1602 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 18.
The square root of 13137102 is about 3624.5140363916. The cubic root of 13137102 is about 235.9571764681.
The spelling of 13137102 in words is "thirteen million, one hundred thirty-seven thousand, one hundred two".
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