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13405350001 is a prime number
BaseRepresentation
bin11000111110000010…
…10110100001110001
31021121020112100010111
430133001112201301
5204423232200001
610054111101321
7653124411031
oct143701264161
937536470114
1013405350001
115759a7495a
122721511841
131358367484
149125238c1
15536d20851
hex31f056871

13405350001 has 2 divisors, whose sum is σ = 13405350002. Its totient is φ = 13405350000.

The previous prime is 13405349989. The next prime is 13405350029. The reversal of 13405350001 is 10005350431.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13207525776 + 197824225 = 114924^2 + 14065^2 .

It is an emirp because it is prime and its reverse (10005350431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13405350001 - 217 = 13405218929 is a prime.

It is not a weakly prime, because it can be changed into another prime (13405350701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6702675000 + 6702675001.

It is an arithmetic number, because the mean of its divisors is an integer number (6702675001).

Almost surely, 213405350001 is an apocalyptic number.

It is an amenable number.

13405350001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405350001 is an equidigital number, since it uses as much as digits as its factorization.

13405350001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 13405350001 in words is "thirteen billion, four hundred five million, three hundred fifty thousand, one".