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3131301013 = 291973891409
BaseRepresentation
bin1011101010100011…
…1101110010010101
322002020002120110121
42322220331302111
522403103113023
61234414351541
7140411422321
oct27250756225
98066076417
103131301013
1113675a0885
127347bb5b1
133ab967249
14219c24981
15134d7cd5d
hexbaa3dc95

3131301013 has 16 divisors (see below), whose sum is σ = 3266406000. Its totient is φ = 2998116352.

The previous prime is 3131301011. The next prime is 3131301067. The reversal of 3131301013 is 3101031313.

It can be written as a sum of positive squares in 8 ways, for example, as 62362609 + 3068938404 = 7897^2 + 55398^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131301013 - 21 = 3131301011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131301011) 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, 2221653 + ... + 2223061.

It is an arithmetic number, because the mean of its divisors is an integer number (204150375).

Almost surely, 23131301013 is an apocalyptic number.

It is an amenable number.

3131301013 is a deficient number, since it is larger than the sum of its proper divisors (135104987).

3131301013 is a wasteful number, since it uses less digits than its factorization.

3131301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3131301013 is about 55958.0290306941. The cubic root of 3131301013 is about 1462.9908373481.

Adding to 3131301013 its reverse (3101031313), we get a palindrome (6232332326).

The spelling of 3131301013 in words is "three billion, one hundred thirty-one million, three hundred one thousand, thirteen".

Divisors: 1 29 197 389 1409 5713 11281 40861 76633 277573 548101 2222357 8049617 15894929 107975897 3131301013