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13322122311 = 331658121767
BaseRepresentation
bin11000110100000111…
…10111010001000111
31021101102220221012110
430122003313101013
5204240430403221
610041535152103
7651064112511
oct143203672107
937342827173
1013322122311
115716a99743
1226b9675633
131344046c14
1490545abb1
1552e880776
hex31a0f7447

13322122311 has 16 divisors (see below), whose sum is σ = 18339452928. Its totient is φ = 8593216800.

The previous prime is 13322122309. The next prime is 13322122337. The reversal of 13322122311 is 11322122331.

13322122311 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 13322122311 - 21 = 13322122309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322122351) 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 15 ways as a sum of consecutive naturals, for example, 601150 + ... + 622916.

It is an arithmetic number, because the mean of its divisors is an integer number (1146215808).

Almost surely, 213322122311 is an apocalyptic number.

13322122311 is a deficient number, since it is larger than the sum of its proper divisors (5017330617).

13322122311 is a wasteful number, since it uses less digits than its factorization.

13322122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28382.

The product of its digits is 432, while the sum is 21.

Adding to 13322122311 its reverse (11322122331), we get a palindrome (24644244642).

The spelling of 13322122311 in words is "thirteen billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 31 93 6581 19743 21767 65301 204011 612033 674777 2024331 143248627 429745881 4440707437 13322122311