Search a number
-
+
13220102233 = 132711101767
BaseRepresentation
bin11000100111111101…
…01100000001011001
31021010022221202222001
430103332230001121
5204033321232413
610023452401001
7645415005052
oct142376540131
937108852861
1013220102233
115674448528
12268b476161
131328b76b00
148d5aa1729
1552592c4dd
hex313fac059

13220102233 has 12 divisors (see below), whose sum is σ = 14516895168. Its totient is φ = 12031284720.

The previous prime is 13220102213. The next prime is 13220102281. The reversal of 13220102233 is 33220102231.

13220102233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13220102233 - 29 = 13220101721 is a prime.

It is a super-2 number, since 2×132201022332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13220102233.

It is not an unprimeable number, because it can be changed into a prime (13220102213) 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 11 ways as a sum of consecutive naturals, for example, 538885 + ... + 562882.

It is an arithmetic number, because the mean of its divisors is an integer number (1209741264).

Almost surely, 213220102233 is an apocalyptic number.

13220102233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13220102233 is a deficient number, since it is larger than the sum of its proper divisors (1296792935).

13220102233 is a wasteful number, since it uses less digits than its factorization.

13220102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101864 (or 1101851 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13220102233 its reverse (33220102231), we get a palindrome (46440204464).

The spelling of 13220102233 in words is "thirteen billion, two hundred twenty million, one hundred two thousand, two hundred thirty-three".

Divisors: 1 13 71 169 923 11999 1101767 14322971 78225457 186198623 1016930941 13220102233