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1312111117 is a prime number
BaseRepresentation
bin100111000110101…
…0011101000001101
310101102222011002001
41032031103220031
510141400023432
6334111032301
744341521562
oct11615235015
93342864061
101312111117
1161371a559
1230750b691
1317bab8715
14c6394869
157a2d39e7
hex4e353a0d

1312111117 has 2 divisors, whose sum is σ = 1312111118. Its totient is φ = 1312111116.

The previous prime is 1312111111. The next prime is 1312111123. The reversal of 1312111117 is 7111112131.

It is a balanced prime because it is at equal distance from previous prime (1312111111) and next prime (1312111123).

It can be written as a sum of positive squares in only one way, i.e., 1232080201 + 80030916 = 35101^2 + 8946^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312111117 - 23 = 1312111109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312111094 and 1312111103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656055558 + 656055559.

It is an arithmetic number, because the mean of its divisors is an integer number (656055559).

Almost surely, 21312111117 is an apocalyptic number.

It is an amenable number.

1312111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312111117 is an equidigital number, since it uses as much as digits as its factorization.

1312111117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 19.

The square root of 1312111117 is about 36223.0743725598. The cubic root of 1312111117 is about 1094.7716396528.

Adding to 1312111117 its reverse (7111112131), we get a palindrome (8423223248).

The spelling of 1312111117 in words is "one billion, three hundred twelve million, one hundred eleven thousand, one hundred seventeen".