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31101102313 is a prime number
BaseRepresentation
bin11100111101110001…
…010010100011101001
32222021111012200210021
4130331301102203221
51002143340233223
622142044320441
72150500002451
oct347561224351
988244180707
1031101102313
111220a841546
12603b843121
132c18540728
141710792d61
15c2062b65d
hex73dc528e9

31101102313 has 2 divisors, whose sum is σ = 31101102314. Its totient is φ = 31101102312.

The previous prime is 31101102269. The next prime is 31101102349. The reversal of 31101102313 is 31320110113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28978933824 + 2122168489 = 170232^2 + 46067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31101102313 is a prime.

It is not a weakly prime, because it can be changed into another prime (31104102313) 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 as a sum of consecutive naturals, namely, 15550551156 + 15550551157.

It is an arithmetic number, because the mean of its divisors is an integer number (15550551157).

Almost surely, 231101102313 is an apocalyptic number.

It is an amenable number.

31101102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101102313 is an equidigital number, since it uses as much as digits as its factorization.

31101102313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31101102313 its reverse (31320110113), we get a palindrome (62421212426).

The spelling of 31101102313 in words is "thirty-one billion, one hundred one million, one hundred two thousand, three hundred thirteen".