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22133123101 is a prime number
BaseRepresentation
bin10100100111001111…
…001010100000011101
32010010111101011001001
4110213033022200131
5330312034414401
614100125350301
71412323304455
oct244717124035
963114334031
1022133123101
119428630a81
124358408391
1321195c215b
1410dd714d65
15898177601
hex5273ca81d

22133123101 has 2 divisors, whose sum is σ = 22133123102. Its totient is φ = 22133123100.

The previous prime is 22133123087. The next prime is 22133123137. The reversal of 22133123101 is 10132133122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19016134201 + 3116988900 = 137899^2 + 55830^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133123101 - 213 = 22133114909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22133123171) 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 as a sum of consecutive naturals, namely, 11066561550 + 11066561551.

It is an arithmetic number, because the mean of its divisors is an integer number (11066561551).

Almost surely, 222133123101 is an apocalyptic number.

It is an amenable number.

22133123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133123101 is an equidigital number, since it uses as much as digits as its factorization.

22133123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22133123101 its reverse (10132133122), we get a palindrome (32265256223).

The spelling of 22133123101 in words is "twenty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred one".