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31102012033 is a prime number
BaseRepresentation
bin11100111101110100…
…110000101010000001
32222021112220220200121
4130331310300222001
51002144103341113
622142120020241
72150510511631
oct347564605201
988245826617
1031102012033
1112210302a84
126040001681
132c1879b821
14171094c6c1
15c2075ae8d
hex73dd30a81

31102012033 has 2 divisors, whose sum is σ = 31102012034. Its totient is φ = 31102012032.

The previous prime is 31102012027. The next prime is 31102012043. The reversal of 31102012033 is 33021020113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16862840449 + 14239171584 = 129857^2 + 119328^2 .

It is a cyclic number.

It is not a de Polignac number, because 31102012033 - 229 = 30565141121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31102011998 and 31102012016.

It is not a weakly prime, because it can be changed into another prime (31102012043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15551006016 + 15551006017.

It is an arithmetic number, because the mean of its divisors is an integer number (15551006017).

Almost surely, 231102012033 is an apocalyptic number.

It is an amenable number.

31102012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31102012033 is an equidigital number, since it uses as much as digits as its factorization.

31102012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31102012033 its reverse (33021020113), we get a palindrome (64123032146).

The spelling of 31102012033 in words is "thirty-one billion, one hundred two million, twelve thousand, thirty-three".