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23213132993 is a prime number
BaseRepresentation
bin10101100111100111…
…000100110011000001
32012220202121100002102
4111213213010303001
5340020030223433
614355230000145
71451146242401
oct254747046301
965822540072
1023213132993
119932232436
1245ba046055
13225c29406b
1411a2d2c801
1590cdb04e8
hex5679c4cc1

23213132993 has 2 divisors, whose sum is σ = 23213132994. Its totient is φ = 23213132992.

The previous prime is 23213132981. The next prime is 23213133037. The reversal of 23213132993 is 39923131232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17607166864 + 5605966129 = 132692^2 + 74873^2 .

It is a cyclic number.

It is not a de Polignac number, because 23213132993 - 220 = 23212084417 is a prime.

It is not a weakly prime, because it can be changed into another prime (23213132963) 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, 11606566496 + 11606566497.

It is an arithmetic number, because the mean of its divisors is an integer number (11606566497).

Almost surely, 223213132993 is an apocalyptic number.

It is an amenable number.

23213132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

23213132993 is an equidigital number, since it uses as much as digits as its factorization.

23213132993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 38.

The spelling of 23213132993 in words is "twenty-three billion, two hundred thirteen million, one hundred thirty-two thousand, nine hundred ninety-three".