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3130130313 = 32449774593
BaseRepresentation
bin1011101010010001…
…1111111110001001
322002010220002120100
42322210133332021
522402303132223
61234333320013
7140365445232
oct27244377611
98063802510
103130130313
111366971262
12734336009
133ab64741b
142199dc089
15134beb043
hexba91ff89

3130130313 has 12 divisors (see below), whose sum is σ = 4531374900. Its totient is φ = 2082103296.

The previous prime is 3130130303. The next prime is 3130130323. The reversal of 3130130313 is 3130310313.

It is an interprime number because it is at equal distance from previous prime (3130130303) and next prime (3130130323).

It can be written as a sum of positive squares in 2 ways, for example, as 1926595449 + 1203534864 = 43893^2 + 34692^2 .

It is not a de Polignac number, because 3130130313 - 212 = 3130126217 is a prime.

It is a super-2 number, since 2×31301303132 = 19595431552722955938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3130130303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383256 + ... + 391337.

It is an arithmetic number, because the mean of its divisors is an integer number (377614575).

Almost surely, 23130130313 is an apocalyptic number.

It is an amenable number.

3130130313 is a deficient number, since it is larger than the sum of its proper divisors (1401244587).

3130130313 is a wasteful number, since it uses less digits than its factorization.

3130130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775048 (or 775045 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3130130313 is about 55947.5675342548. The cubic root of 3130130313 is about 1462.8084917505.

Adding to 3130130313 its reverse (3130310313), we get a palindrome (6260440626).

The spelling of 3130130313 in words is "three billion, one hundred thirty million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 449 1347 4041 774593 2323779 6971337 347792257 1043376771 3130130313