Search a number
-
+
313132013 = 1718918217
BaseRepresentation
bin10010101010100…
…000001111101101
3210211012202100222
4102222200033231
51120130211023
651023301125
710521402215
oct2252401755
9724182328
10313132013
11150833797
1288a4a7a5
134cb4811c
142d831245
151c754cc8
hex12aa03ed

313132013 has 4 divisors (see below), whose sum is σ = 313167420. Its totient is φ = 313096608.

The previous prime is 313131983. The next prime is 313132021. The reversal of 313132013 is 310231313.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 193404649 + 119727364 = 13907^2 + 10942^2 .

It is a cyclic number.

It is not a de Polignac number, because 313132013 - 28 = 313131757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313131982 and 313132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313132033) 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, 8081 + ... + 26297.

It is an arithmetic number, because the mean of its divisors is an integer number (78291855).

Almost surely, 2313132013 is an apocalyptic number.

It is an amenable number.

313132013 is a deficient number, since it is larger than the sum of its proper divisors (35407).

313132013 is a wasteful number, since it uses less digits than its factorization.

313132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35406.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 313132013 is about 17695.5365276106. The cubic root of 313132013 is about 679.0615753454.

Adding to 313132013 its reverse (310231313), we get a palindrome (623363326).

The spelling of 313132013 in words is "three hundred thirteen million, one hundred thirty-two thousand, thirteen".

Divisors: 1 17189 18217 313132013