Search a number
-
+
13314310321 = 1329191184903
BaseRepresentation
bin11000110011001100…
…00100000010110001
31021100220020001011111
430121212010002301
5204231430412241
610041055513321
7650640525154
oct143146040261
937326201144
1013314310321
115712643454
1226b6b28841
131342540240
149043c5c9b
1552dd3ac81
hex3199840b1

13314310321 has 16 divisors (see below), whose sum is σ = 14910658560. Its totient is φ = 11804143680.

The previous prime is 13314310309. The next prime is 13314310333. The reversal of 13314310321 is 12301341331.

It is an interprime number because it is at equal distance from previous prime (13314310309) and next prime (13314310333).

It is a cyclic number.

It is not a de Polignac number, because 13314310321 - 213 = 13314302129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13314310292 and 13314310301.

It is not an unprimeable number, because it can be changed into a prime (13314310381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20445 + ... + 164458.

It is an arithmetic number, because the mean of its divisors is an integer number (931916160).

Almost surely, 213314310321 is an apocalyptic number.

It is an amenable number.

13314310321 is a deficient number, since it is larger than the sum of its proper divisors (1596348239).

13314310321 is a wasteful number, since it uses less digits than its factorization.

13314310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185136.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13314310321 its reverse (12301341331), we get a palindrome (25615651652).

The spelling of 13314310321 in words is "thirteen billion, three hundred fourteen million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 13 29 191 377 2483 5539 72007 184903 2403739 5362187 35316473 69708431 459114149 1024177717 13314310321