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31130100121 is a prime number
BaseRepresentation
bin11100111111011111…
…111010000110011001
32222100111202221022011
4130333133322012121
51002223301200441
622145002025521
72151301325251
oct347737720631
988314687264
1031130100121
1112225147a7a
1260494a82a1
132c215544b3
141714580961
15c22e58581
hex73f7fa199

31130100121 has 2 divisors, whose sum is σ = 31130100122. Its totient is φ = 31130100120.

The previous prime is 31130100119. The next prime is 31130100139. The reversal of 31130100121 is 12100103113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28043186521 + 3086913600 = 167461^2 + 55560^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130100121 - 21 = 31130100119 is a prime.

Together with 31130100119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31130100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565050060 + 15565050061.

It is an arithmetic number, because the mean of its divisors is an integer number (15565050061).

Almost surely, 231130100121 is an apocalyptic number.

It is an amenable number.

31130100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130100121 is an equidigital number, since it uses as much as digits as its factorization.

31130100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31130100121 its reverse (12100103113), we get a palindrome (43230203234).

The spelling of 31130100121 in words is "thirty-one billion, one hundred thirty million, one hundred thousand, one hundred twenty-one".