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13124113993 is a prime number
BaseRepresentation
bin11000011100100001…
…00001011001001001
31020212122100001212001
430032100201121021
5203334233121433
610010143151001
7643141062004
oct141620413111
936778301761
1013124113993
115625247101
1226632a5461
131312009333
148c703653b
1551c2bb57d
hex30e421649

13124113993 has 2 divisors, whose sum is σ = 13124113994. Its totient is φ = 13124113992.

The previous prime is 13124113969. The next prime is 13124114009. The reversal of 13124113993 is 39931142131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12097360144 + 1026753849 = 109988^2 + 32043^2 .

It is a cyclic number.

It is not a de Polignac number, because 13124113993 - 213 = 13124105801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13124113943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562056996 + 6562056997.

It is an arithmetic number, because the mean of its divisors is an integer number (6562056997).

Almost surely, 213124113993 is an apocalyptic number.

It is an amenable number.

13124113993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13124113993 is an equidigital number, since it uses as much as digits as its factorization.

13124113993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 37.

The spelling of 13124113993 in words is "thirteen billion, one hundred twenty-four million, one hundred thirteen thousand, nine hundred ninety-three".