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311132103127 is a prime number
BaseRepresentation
bin1001000011100001110…
…10110010000111010111
31002202002022221110101221
410201300322302013113
520044144304300002
6354533200431211
731323100145446
oct4416072620727
91082068843357
10311132103127
1110aa4aa6312a
1250371618507
132345522a091
14110b779cd5d
15815eb44c37
hex4870eb21d7

311132103127 has 2 divisors, whose sum is σ = 311132103128. Its totient is φ = 311132103126.

The previous prime is 311132103097. The next prime is 311132103179. The reversal of 311132103127 is 721301231113.

It is a weak prime.

It is an emirp because it is prime and its reverse (721301231113) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311132103127 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311132101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155566051563 + 155566051564.

It is an arithmetic number, because the mean of its divisors is an integer number (155566051564).

Almost surely, 2311132103127 is an apocalyptic number.

311132103127 is a deficient number, since it is larger than the sum of its proper divisors (1).

311132103127 is an equidigital number, since it uses as much as digits as its factorization.

311132103127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The spelling of 311132103127 in words is "three hundred eleven billion, one hundred thirty-two million, one hundred three thousand, one hundred twenty-seven".