Search a number
-
+
22133112131 = 13137197199317
BaseRepresentation
bin10100100111001111…
…000111110101000011
32010010111100120222202
4110213033013311003
5330312034042011
614100125223415
71412323230464
oct244717076503
963114316882
1022133112131
119428623809
124358401b6b
1321195ba170
1410dd710d6b
1589817423b
hex5273c7d43

22133112131 has 32 divisors (see below), whose sum is σ = 24329289600. Its totient is φ = 20013751296.

The previous prime is 22133112097. The next prime is 22133112143. The reversal of 22133112131 is 13121133122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22133112131 - 222 = 22128917827 is a prime.

It is a super-2 number, since 2×221331121312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22133112151) 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 31 ways as a sum of consecutive naturals, for example, 69820385 + ... + 69820701.

It is an arithmetic number, because the mean of its divisors is an integer number (760290300).

Almost surely, 222133112131 is an apocalyptic number.

22133112131 is a deficient number, since it is larger than the sum of its proper divisors (2196177469).

22133112131 is a wasteful number, since it uses less digits than its factorization.

22133112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863.

The product of its digits is 216, while the sum is 20.

Adding to 22133112131 its reverse (13121133122), we get a palindrome (35254245253).

The spelling of 22133112131 in words is "twenty-two billion, one hundred thirty-three million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 137 197 199 317 1781 2561 2587 4121 26989 27263 39203 43429 62449 63083 350857 354419 509639 564577 811837 820079 5370811 8555513 8642371 12427351 69820543 111221669 112350823 161555563 1702547087 22133112131