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13220103113 = 717311239721
BaseRepresentation
bin11000100111111101…
…01100001111001001
31021010022221211011122
430103332230033021
5204033321244423
610023452405025
7645415010450
oct142376541711
937108854148
1013220103113
115674449158
12268b476775
131328b77329
148d5aa1b97
1552592c8c8
hex313fac3c9

13220103113 has 16 divisors (see below), whose sum is σ = 15211118976. Its totient is φ = 11254826880.

The previous prime is 13220103107. The next prime is 13220103161. The reversal of 13220103113 is 31130102231.

It is a cyclic number.

It is not a de Polignac number, because 13220103113 - 24 = 13220103097 is a prime.

It is a super-3 number, since 3×132201031133 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13220103091 and 13220103100.

It is not an unprimeable number, because it can be changed into a prime (13220103103) 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, 1355093 + ... + 1364813.

It is an arithmetic number, because the mean of its divisors is an integer number (950694936).

Almost surely, 213220103113 is an apocalyptic number.

It is an amenable number.

13220103113 is a deficient number, since it is larger than the sum of its proper divisors (1991015863).

13220103113 is a wasteful number, since it uses less digits than its factorization.

13220103113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11024.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13220103113 its reverse (31130102231), we get a palindrome (44350205344).

The spelling of 13220103113 in words is "thirteen billion, two hundred twenty million, one hundred three thousand, one hundred thirteen".

Divisors: 1 7 173 1123 1211 7861 9721 68047 194279 1359953 1681733 10916683 11772131 76416781 1888586159 13220103113