Search a number
-
+
13312200319 = 1117671062511
BaseRepresentation
bin11000110010111100…
…00000111001111111
31021100202020211210021
430121132000321333
5204230410402234
610040542353011
7650613556435
oct143136007177
937322224707
1013312200319
115711432150
1226b628b767
131341c81a12
14903dd6d55
1552da709b4
hex319780e7f

13312200319 has 16 divisors (see below), whose sum is σ = 15606176256. Its totient is φ = 11220105600.

The previous prime is 13312200311. The next prime is 13312200359. The reversal of 13312200319 is 91300221331.

It is not a de Polignac number, because 13312200319 - 23 = 13312200311 is a prime.

It is a super-2 number, since 2×133122003192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13312200293 and 13312200302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312200311) 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 15 ways as a sum of consecutive naturals, for example, 518727 + ... + 543784.

It is an arithmetic number, because the mean of its divisors is an integer number (975386016).

Almost surely, 213312200319 is an apocalyptic number.

13312200319 is a deficient number, since it is larger than the sum of its proper divisors (2293975937).

13312200319 is a wasteful number, since it uses less digits than its factorization.

13312200319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062606.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 13312200319 in words is "thirteen billion, three hundred twelve million, two hundred thousand, three hundred nineteen".

Divisors: 1 11 17 67 187 737 1139 12529 1062511 11687621 18062687 71188237 198689557 783070607 1210200029 13312200319