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12364517041 is a prime number
BaseRepresentation
bin10111000001111101…
…11000111010110001
31011220201000112201121
423200332320322301
5200310304021131
65402530302241
7615255442432
oct134076707261
934821015647
1012364517041
1152754a1728
122490a27981
131220831596
148541c7489
154c5775911
hex2e0fb8eb1

12364517041 has 2 divisors, whose sum is σ = 12364517042. Its totient is φ = 12364517040.

The previous prime is 12364517003. The next prime is 12364517047. The reversal of 12364517041 is 14071546321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9385540641 + 2978976400 = 96879^2 + 54580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12364517041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12364516988 and 12364517006.

It is not a weakly prime, because it can be changed into another prime (12364517047) 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, 6182258520 + 6182258521.

It is an arithmetic number, because the mean of its divisors is an integer number (6182258521).

Almost surely, 212364517041 is an apocalyptic number.

It is an amenable number.

12364517041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12364517041 is an equidigital number, since it uses as much as digits as its factorization.

12364517041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12364517041 in words is "twelve billion, three hundred sixty-four million, five hundred seventeen thousand, forty-one".