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311311130101 is a prime number
BaseRepresentation
bin1001000011110111001…
…01101101110111110101
31002202112210210222020121
410201323211231313311
520100031122130401
6355003033531541
731330402642126
oct4417345556765
91082483728217
10311311130101
11110032020804
1250401573bb1
13234833500ba
14110d348204d
158170709ca1
hex487b96ddf5

311311130101 has 2 divisors, whose sum is σ = 311311130102. Its totient is φ = 311311130100.

The previous prime is 311311130093. The next prime is 311311130131. The reversal of 311311130101 is 101031113113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180068679025 + 131242451076 = 424345^2 + 362274^2 .

It is a cyclic number.

It is not a de Polignac number, because 311311130101 - 23 = 311311130093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311311130131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155655565050 + 155655565051.

It is an arithmetic number, because the mean of its divisors is an integer number (155655565051).

Almost surely, 2311311130101 is an apocalyptic number.

It is an amenable number.

311311130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311311130101 is an equidigital number, since it uses as much as digits as its factorization.

311311130101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 311311130101 its reverse (101031113113), we get a palindrome (412342243214).

The spelling of 311311130101 in words is "three hundred eleven billion, three hundred eleven million, one hundred thirty thousand, one hundred one".