Search a number
-
+
313332221 = 3147832591
BaseRepresentation
bin10010101011010…
…001000111111101
3210211120221000002
4102223101013331
51120203112341
651031444045
710523165006
oct2253210775
9724527002
10313332221
11150960154
1288b26625
134cbb82a7
142d8841ad
151c79429b
hex12ad11fd

313332221 has 16 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 293084400.

The previous prime is 313332203. The next prime is 313332251. The reversal of 313332221 is 122233313.

It is a cyclic number.

It is not a de Polignac number, because 313332221 - 26 = 313332157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313332193 and 313332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313332251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119636 + ... + 122226.

It is an arithmetic number, because the mean of its divisors is an integer number (20901888).

Almost surely, 2313332221 is an apocalyptic number.

313332221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313332221 is a deficient number, since it is larger than the sum of its proper divisors (21097987).

313332221 is a wasteful number, since it uses less digits than its factorization.

313332221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752.

The product of its digits is 648, while the sum is 20.

The square root of 313332221 is about 17701.1926434351. The cubic root of 313332221 is about 679.2062689459.

Adding to 313332221 its reverse (122233313), we get a palindrome (435565534).

The spelling of 313332221 in words is "three hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 31 47 83 1457 2573 2591 3901 80321 120931 121777 215053 3775087 6666643 10107491 313332221