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12131422413109 is a prime number
BaseRepresentation
bin1011000010001001000100…
…0111111010000100110101
31120221202022200112102101021
42300202101013322010311
53042230123114204414
641445033140301141
72361315646051606
oct260422107720465
946852280472337
1012131422413109
1139579a8760a5a
12143b1989a17b1
1369ccb018c77c
142dd241d51dad
15160875aa4c24
hexb08911fa135

12131422413109 has 2 divisors, whose sum is σ = 12131422413110. Its totient is φ = 12131422413108.

The previous prime is 12131422413073. The next prime is 12131422413167. The reversal of 12131422413109 is 90131422413121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12131393490225 + 28922884 = 3483015^2 + 5378^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131422413109 - 29 = 12131422412597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131422411109) 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, 6065711206554 + 6065711206555.

It is an arithmetic number, because the mean of its divisors is an integer number (6065711206555).

Almost surely, 212131422413109 is an apocalyptic number.

It is an amenable number.

12131422413109 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131422413109 is an equidigital number, since it uses as much as digits as its factorization.

12131422413109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 12131422413109 in words is "twelve trillion, one hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, one hundred nine".