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313003131 = 37219112067
BaseRepresentation
bin10010101010000…
…000110001111011
3210210222012120120
4102222000301323
51120112100011
651020424323
710520324400
oct2252006173
9723865516
10313003131
11150755981
12889a80a3
134cb0156c
142d7da2a7
151c72ba06
hex12a80c7b

313003131 has 24 divisors (see below), whose sum is σ = 511030080. Its totient is φ = 169443792.

The previous prime is 313003109. The next prime is 313003153. The reversal of 313003131 is 131300313.

It is an interprime number because it is at equal distance from previous prime (313003109) and next prime (313003153).

It is not a de Polignac number, because 313003131 - 29 = 313002619 is a prime.

It is a super-2 number, since 2×3130031312 = 195941920031606322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313003131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313003181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53241 + ... + 58826.

It is an arithmetic number, because the mean of its divisors is an integer number (21292920).

Almost surely, 2313003131 is an apocalyptic number.

313003131 is a deficient number, since it is larger than the sum of its proper divisors (198026949).

313003131 is a wasteful number, since it uses less digits than its factorization.

313003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112103 (or 112096 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 313003131 is about 17691.8945000246. The cubic root of 313003131 is about 678.9683975797.

Adding to 313003131 its reverse (131300313), we get a palindrome (444303444).

The spelling of 313003131 in words is "three hundred thirteen million, three thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 112067 336201 784469 2129273 2353407 5491283 6387819 14904911 16473849 44714733 104334377 313003131