Search a number
-
+
23223313233137 is a prime number
BaseRepresentation
bin1010100011111000110010…
…10101011111010011110001
310001020010102121222102021102
411101330121111133103301
511020442321141430022
6121220350503134145
74614554231315513
oct521743125372361
9101203377872242
1023223313233137
117443a51987036
122730a00744355
13cc5c450740c4
145a402b57dbb3
152a41595d3a92
hex151f1955f4f1

23223313233137 has 2 divisors, whose sum is σ = 23223313233138. Its totient is φ = 23223313233136.

The previous prime is 23223313233101. The next prime is 23223313233149. The reversal of 23223313233137 is 73133231332232.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21988512234481 + 1234800998656 = 4689191^2 + 1111216^2 .

It is a cyclic number.

It is not a de Polignac number, because 23223313233137 - 212 = 23223313229041 is a prime.

It is a super-2 number, since 2×232233132331372 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23223313233137.

It is not a weakly prime, because it can be changed into another prime (23223313233157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11611656616568 + 11611656616569.

It is an arithmetic number, because the mean of its divisors is an integer number (11611656616569).

Almost surely, 223223313233137 is an apocalyptic number.

It is an amenable number.

23223313233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

23223313233137 is an equidigital number, since it uses as much as digits as its factorization.

23223313233137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 244944, while the sum is 38.

Adding to 23223313233137 its reverse (73133231332232), we get a palindrome (96356544565369).

The spelling of 23223313233137 in words is "twenty-three trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred thirty-seven".