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1312123093 is a prime number
BaseRepresentation
bin100111000110101…
…0110100011010101
310101102222202111121
41032031112203111
510141400414333
6334111203541
744341601521
oct11615264325
93342882447
101312123093
11613728556
123075165b1
1317bac0cc8
14c6398d81
157a2d732d
hex4e3568d5

1312123093 has 2 divisors, whose sum is σ = 1312123094. Its totient is φ = 1312123092.

The previous prime is 1312123091. The next prime is 1312123139. The reversal of 1312123093 is 3903212131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1261528324 + 50594769 = 35518^2 + 7113^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312123093 - 21 = 1312123091 is a prime.

It is a super-2 number, since 2×13121230932 = 3443334022367773298, which contains 22 as substring.

Together with 1312123091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312123091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656061546 + 656061547.

It is an arithmetic number, because the mean of its divisors is an integer number (656061547).

Almost surely, 21312123093 is an apocalyptic number.

It is an amenable number.

1312123093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312123093 is an equidigital number, since it uses as much as digits as its factorization.

1312123093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 1312123093 is about 36223.2396811771. The cubic root of 1312123093 is about 1094.7749704036.

The spelling of 1312123093 in words is "one billion, three hundred twelve million, one hundred twenty-three thousand, ninety-three".