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31101221113 is a prime number
BaseRepresentation
bin11100111101110001…
…101111100011111001
32222021111102201202021
4130331301233203321
51002143403033423
622142051034441
72150501006014
oct347561574371
988244381667
1031101221113
111220a912826
12603b89ba21
132c18582821
1417107c437b
15c2065195d
hex73dc6f8f9

31101221113 has 2 divisors, whose sum is σ = 31101221114. Its totient is φ = 31101221112.

The previous prime is 31101221111. The next prime is 31101221171. The reversal of 31101221113 is 31112210113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29876431104 + 1224790009 = 172848^2 + 34997^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101221113 - 21 = 31101221111 is a prime.

Together with 31101221111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31101221111) 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, 15550610556 + 15550610557.

It is an arithmetic number, because the mean of its divisors is an integer number (15550610557).

Almost surely, 231101221113 is an apocalyptic number.

It is an amenable number.

31101221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101221113 is an equidigital number, since it uses as much as digits as its factorization.

31101221113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31101221113 its reverse (31112210113), we get a palindrome (62213431226).

The spelling of 31101221113 in words is "thirty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred thirteen".