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13337473331 = 713146565641
BaseRepresentation
bin11000110101111100…
…11011000100110011
31021102111210211211202
430122332123010303
5204303343121311
610043244201415
7651341436620
oct143276330463
937374724752
1013337473331
115724724136
12270283926b
131347290270
149074d5347
15530db3e3b
hex31af9b133

13337473331 has 8 divisors (see below), whose sum is σ = 16415351904. Its totient is φ = 10552726080.

The previous prime is 13337473319. The next prime is 13337473337.

13337473331 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2k-13337473331 is a prime.

It is a super-2 number, since 2×133374733312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13337473337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73282730 + ... + 73282911.

It is an arithmetic number, because the mean of its divisors is an integer number (2051918988).

Almost surely, 213337473331 is an apocalyptic number.

13337473331 is a deficient number, since it is larger than the sum of its proper divisors (3077878573).

13337473331 is a wasteful number, since it uses less digits than its factorization.

13337473331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146565661.

The product of its digits is 142884, while the sum is 38.

The spelling of 13337473331 in words is "thirteen billion, three hundred thirty-seven million, four hundred seventy-three thousand, three hundred thirty-one".

Divisors: 1 7 13 91 146565641 1025959487 1905353333 13337473331