Search a number
-
+
23213009101 is a prime number
BaseRepresentation
bin10101100111100110…
…100110100011001101
32012220202101001010211
4111213212212203031
5340020012242401
614355223202421
71451145215242
oct254746464315
965822331124
1023213009101
119932158347
1245b9ba6411
13225c24c859
1411a2cd95c9
1590cd88951
hex5679a68cd

23213009101 has 2 divisors, whose sum is σ = 23213009102. Its totient is φ = 23213009100.

The previous prime is 23213009069. The next prime is 23213009111. The reversal of 23213009101 is 10190031232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20513687076 + 2699322025 = 143226^2 + 51955^2 .

It is a cyclic number.

It is not a de Polignac number, because 23213009101 - 25 = 23213009069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23213009111) 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 as a sum of consecutive naturals, namely, 11606504550 + 11606504551.

It is an arithmetic number, because the mean of its divisors is an integer number (11606504551).

Almost surely, 223213009101 is an apocalyptic number.

It is an amenable number.

23213009101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23213009101 is an equidigital number, since it uses as much as digits as its factorization.

23213009101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 23213009101 in words is "twenty-three billion, two hundred thirteen million, nine thousand, one hundred one".