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311131132127 is a prime number
BaseRepresentation
bin1001000011100001101…
…11000101000011011111
31002202002021010010102222
410201300313011003133
520044144032212002
6354533123535555
731323055662524
oct4416067050337
91082067103388
10311131132127
1110aa4a45a652
125037122a5bb
1323454c7a11a
14110b75c914b
15815ea021a2
hex4870dc50df

311131132127 has 2 divisors, whose sum is σ = 311131132128. Its totient is φ = 311131132126.

The previous prime is 311131132063. The next prime is 311131132153. The reversal of 311131132127 is 721231131113.

It is an a-pointer prime, because the next prime (311131132153) can be obtained adding 311131132127 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 311131132127 - 26 = 311131132063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311131132096 and 311131132105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311131132157) 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, 155565566063 + 155565566064.

It is an arithmetic number, because the mean of its divisors is an integer number (155565566064).

Almost surely, 2311131132127 is an apocalyptic number.

311131132127 is a deficient number, since it is larger than the sum of its proper divisors (1).

311131132127 is an equidigital number, since it uses as much as digits as its factorization.

311131132127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 26.

The spelling of 311131132127 in words is "three hundred eleven billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-seven".