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13413340801 = 72277988237
BaseRepresentation
bin11000111110111111…
…10101011010000001
31021121210120022110001
430133133311122001
5204432303401201
610054554240001
7653252341600
oct143737653201
937553508401
1013413340801
115763532523
122724126001
131359c04663
14913603a37
1553789d301
hex31f7f5681

13413340801 has 12 divisors (see below), whose sum is σ = 15659619348. Its totient is φ = 11455631712.

The previous prime is 13413340693. The next prime is 13413340819. The reversal of 13413340801 is 10804331431.

It can be written as a sum of positive squares in 2 ways, for example, as 2270427201 + 11142913600 = 47649^2 + 105560^2 .

It is not a de Polignac number, because 13413340801 - 219 = 13412816513 is a prime.

It is a super-2 number, since 2×134133408012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13413340801.

It is not an unprimeable number, because it can be changed into a prime (13413340861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480546 + ... + 507691.

It is an arithmetic number, because the mean of its divisors is an integer number (1304968279).

Almost surely, 213413340801 is an apocalyptic number.

It is an amenable number.

13413340801 is a deficient number, since it is larger than the sum of its proper divisors (2246278547).

13413340801 is an equidigital number, since it uses as much as digits as its factorization.

13413340801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988528 (or 988521 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 13413340801 in words is "thirteen billion, four hundred thirteen million, three hundred forty thousand, eight hundred one".

Divisors: 1 7 49 277 1939 13573 988237 6917659 48423613 273741649 1916191543 13413340801