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23213122133 = 891021255457
BaseRepresentation
bin10101100111100111…
…000010001001010101
32012220202120210012012
4111213213002021111
5340020024402013
614355225434005
71451146165625
oct254747021125
965822523165
1023213122133
119932225263
1245ba03b905
13225c28c136
1411a2d28885
1590cdac1a8
hex5679c2255

23213122133 has 8 divisors (see below), whose sum is σ = 23497026840. Its totient is φ = 22929730560.

The previous prime is 23213122109. The next prime is 23213122139. The reversal of 23213122133 is 33122131232.

It can be written as a sum of positive squares in 4 ways, for example, as 285711409 + 22927410724 = 16903^2 + 151418^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23213122133 - 220 = 23212073557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23213122099 and 23213122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213122139) 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 7 ways as a sum of consecutive naturals, for example, 36860 + ... + 218597.

It is an arithmetic number, because the mean of its divisors is an integer number (2937128355).

Almost surely, 223213122133 is an apocalyptic number.

It is an amenable number.

23213122133 is a deficient number, since it is larger than the sum of its proper divisors (283904707).

23213122133 is a wasteful number, since it uses less digits than its factorization.

23213122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256567.

The product of its digits is 1296, while the sum is 23.

Adding to 23213122133 its reverse (33122131232), we get a palindrome (56335253365).

Subtracting 23213122133 from its reverse (33122131232), we obtain a palindrome (9909009099).

The spelling of 23213122133 in words is "twenty-three billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 89 1021 90869 255457 22735673 260821597 23213122133