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13315414331 = 371051342413
BaseRepresentation
bin11000110011010100…
…10001100100111011
31021100222022010120202
430121222101210323
5204232221224311
610041135312415
7650653103642
oct143152214473
937328263522
1013315414331
11571322795a
1226b737b70b
1313428388bb
149045d2359
1552dea7e3b
hex319a9193b

13315414331 has 8 divisors (see below), whose sum is σ = 13688342064. Its totient is φ = 12943173600.

The previous prime is 13315414313. The next prime is 13315414367. The reversal of 13315414331 is 13341451331.

It is a happy number.

13315414331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13315414331 is a prime.

It is a super-2 number, since 2×133154143312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13315414294 and 13315414303.

It is not an unprimeable number, because it can be changed into a prime (13315414631) 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 in 7 ways as a sum of consecutive naturals, for example, 132320 + ... + 210093.

It is an arithmetic number, because the mean of its divisors is an integer number (1711042758).

Almost surely, 213315414331 is an apocalyptic number.

13315414331 is a deficient number, since it is larger than the sum of its proper divisors (372927733).

13315414331 is a wasteful number, since it uses less digits than its factorization.

13315414331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343501.

The product of its digits is 6480, while the sum is 29.

Adding to 13315414331 its reverse (13341451331), we get a palindrome (26656865662).

The spelling of 13315414331 in words is "thirteen billion, three hundred fifteen million, four hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 37 1051 38887 342413 12669281 359876063 13315414331