Search a number
-
+
13221811691 = 112671630913
BaseRepresentation
bin11000101000001010…
…01101010111101011
31021010110011121220022
430110011031113223
5204034240433231
610023553151055
7645435354644
oct142405152753
937113147808
1013221811691
115675405900
12268bb5b48b
131329324c1a
148d5dc86cb
15525b68c7b
hex31414d5eb

13221811691 has 12 divisors (see below), whose sum is σ = 14749986216. Its totient is φ = 11840421120.

The previous prime is 13221811663. The next prime is 13221811697. The reversal of 13221811691 is 19611812231.

It is a happy number.

13221811691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13221811691 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13221811697) 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, 807350 + ... + 823563.

It is an arithmetic number, because the mean of its divisors is an integer number (1229165518).

Almost surely, 213221811691 is an apocalyptic number.

13221811691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13221811691 is a deficient number, since it is larger than the sum of its proper divisors (1528174525).

13221811691 is a wasteful number, since it uses less digits than its factorization.

13221811691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631002 (or 1630991 counting only the distinct ones).

The product of its digits is 5184, while the sum is 35.

The spelling of 13221811691 in words is "thirteen billion, two hundred twenty-one million, eight hundred eleven thousand, six hundred ninety-one".

Divisors: 1 11 67 121 737 8107 1630913 17940043 109271171 197340473 1201982881 13221811691