Base | Representation |
---|---|
bin | 10010101010100… |
… | …000001111101110 |
3 | 210211012202101000 |
4 | 102222200033232 |
5 | 1120130211024 |
6 | 51023301130 |
7 | 10521402216 |
oct | 2252401756 |
9 | 724182330 |
10 | 313132014 |
11 | 150833798 |
12 | 88a4a7a6 |
13 | 4cb48120 |
14 | 2d831246 |
15 | 1c754cc9 |
hex | 12aa03ee |
313132014 has 64 divisors (see below), whose sum is σ = 754145280. Its totient is φ = 95735520.
The previous prime is 313131983. The next prime is 313132021. The reversal of 313132014 is 410231313.
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 31 ways as a sum of consecutive naturals, for example, 115899 + ... + 118569.
It is an arithmetic number, because the mean of its divisors is an integer number (11783520).
Almost surely, 2313132014 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 313132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377072640).
313132014 is an abundant number, since it is smaller than the sum of its proper divisors (441013266).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313132014 is a wasteful number, since it uses less digits than its factorization.
313132014 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 313132014 is about 17695.5365558663. The cubic root of 313132014 is about 679.0615760683.
Adding to 313132014 its reverse (410231313), we get a palindrome (723363327).
The spelling of 313132014 in words is "three hundred thirteen million, one hundred thirty-two thousand, fourteen".
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