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13410501431 is a prime number
BaseRepresentation
bin11000111110101010…
…00000001100110111
31021121121020001120012
430133111000030313
5204431042021211
610054413330435
7653216244545
oct143725001467
937547201505
1013410501431
115761973238
122723196a1b
13135944c162
149130a4d95
155374dbd8b
hex31f540337

13410501431 has 2 divisors, whose sum is σ = 13410501432. Its totient is φ = 13410501430.

The previous prime is 13410501383. The next prime is 13410501443.

It is a happy number.

13410501431 is nontrivially palindromic in base 10.

13410501431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13410501431 - 226 = 13343392567 is a prime.

It is a super-2 number, since 2×134105014312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 13410501397 and 13410501406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13410501491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6705250715 + 6705250716.

It is an arithmetic number, because the mean of its divisors is an integer number (6705250716).

Almost surely, 213410501431 is an apocalyptic number.

13410501431 is a deficient number, since it is larger than the sum of its proper divisors (1).

13410501431 is an equidigital number, since it uses as much as digits as its factorization.

13410501431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 13410501431 in words is "thirteen billion, four hundred ten million, five hundred one thousand, four hundred thirty-one".