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13342014001 = 173761347729
BaseRepresentation
bin11000110110011111…
…01111101000110001
31021102211100112110201
430123033233220301
5204311023422001
610043525355201
7651425151001
oct143317575061
937384315421
1013342014001
115727245658
122704268b01
1313481bcc54
14907d58001
155314ae501
hex31b3efa31

13342014001 has 16 divisors (see below), whose sum is σ = 14746533840. Its totient is φ = 12017479680.

The previous prime is 13342013983. The next prime is 13342014011. The reversal of 13342014001 is 10041024331.

It can be written as a sum of positive squares in 8 ways, for example, as 13542400 + 13328471601 = 3680^2 + 115449^2 .

It is a cyclic number.

It is not a de Polignac number, because 13342014001 - 217 = 13341882929 is a prime.

It is a super-3 number, since 3×133420140013 (a number of 31 digits) contains 333 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 13342014001.

It is not an unprimeable number, because it can be changed into a prime (13342014011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135496 + ... + 212233.

It is an arithmetic number, because the mean of its divisors is an integer number (921658365).

Almost surely, 213342014001 is an apocalyptic number.

It is an amenable number.

13342014001 is a deficient number, since it is larger than the sum of its proper divisors (1404519839).

13342014001 is a wasteful number, since it uses less digits than its factorization.

13342014001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347844.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13342014001 its reverse (10041024331), we get a palindrome (23383038332).

The spelling of 13342014001 in words is "thirteen billion, three hundred forty-two million, fourteen thousand, one".

Divisors: 1 17 37 61 629 1037 2257 38369 347729 5911393 12865973 21211469 218721541 360594973 784824353 13342014001