Search a number
-
+
23223313233101 is a prime number
BaseRepresentation
bin1010100011111000110010…
…10101011111010011001101
310001020010102121222102020002
411101330121111133103031
511020442321141424401
6121220350503134045
74614554231315432
oct521743125372315
9101203377872202
1023223313233101
117443a51987003
122730a00744325
13cc5c45074097
145a402b57db89
152a41595d3a6b
hex151f1955f4cd

23223313233101 has 2 divisors, whose sum is σ = 23223313233102. Its totient is φ = 23223313233100.

The previous prime is 23223313233091. The next prime is 23223313233137. The reversal of 23223313233101 is 10133231332232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22980269163076 + 243044070025 = 4793774^2 + 492995^2 .

It is a cyclic number.

It is not a de Polignac number, because 23223313233101 - 226 = 23223246124237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23223313238101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11611656616550 + 11611656616551.

It is an arithmetic number, because the mean of its divisors is an integer number (11611656616551).

Almost surely, 223223313233101 is an apocalyptic number.

It is an amenable number.

23223313233101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23223313233101 is an equidigital number, since it uses as much as digits as its factorization.

23223313233101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 23223313233101 its reverse (10133231332232), we get a palindrome (33356544565333).

The spelling of 23223313233101 in words is "twenty-three trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred one".