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31122110101 is a prime number
BaseRepresentation
bin11100111111000001…
…011011011010010101
32222022221202000001111
4130333001123122111
51002214230010401
622144114455021
72151143366605
oct347701333225
988287660044
1031122110101
111222068aa55
126046894471
132c1c9b7784
1417134a0c05
15c223cae51
hex73f05b695

31122110101 has 2 divisors, whose sum is σ = 31122110102. Its totient is φ = 31122110100.

The previous prime is 31122110081. The next prime is 31122110111. The reversal of 31122110101 is 10101122113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26203191876 + 4918918225 = 161874^2 + 70135^2 .

It is a cyclic number.

It is not a de Polignac number, because 31122110101 - 215 = 31122077333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122110111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561055050 + 15561055051.

It is an arithmetic number, because the mean of its divisors is an integer number (15561055051).

Almost surely, 231122110101 is an apocalyptic number.

It is an amenable number.

31122110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122110101 is an equidigital number, since it uses as much as digits as its factorization.

31122110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 31122110101 its reverse (10101122113), we get a palindrome (41223232214).

The spelling of 31122110101 in words is "thirty-one billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".