Search a number
-
+
23040242272301 is a prime number
BaseRepresentation
bin1010011110100011110010…
…11101001100100000101101
310000120121220002200000201112
411033101321131030200231
511004442404010203201
6121000312521121405
74565413452655022
oct517217135144055
9100517802600645
1023040242272301
1173833481175a1
12270142a629265
13cb18bb131387
14599221989549
1529e4e24bb0bb
hex14f47974c82d

23040242272301 has 2 divisors, whose sum is σ = 23040242272302. Its totient is φ = 23040242272300.

The previous prime is 23040242272277. The next prime is 23040242272321. The reversal of 23040242272301 is 10327224204032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21004127316676 + 2036114955625 = 4583026^2 + 1426925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23040242272301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23040242272321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11520121136150 + 11520121136151.

It is an arithmetic number, because the mean of its divisors is an integer number (11520121136151).

Almost surely, 223040242272301 is an apocalyptic number.

It is an amenable number.

23040242272301 is a deficient number, since it is larger than the sum of its proper divisors (1).

23040242272301 is an equidigital number, since it uses as much as digits as its factorization.

23040242272301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 32.

Adding to 23040242272301 its reverse (10327224204032), we get a palindrome (33367466476333).

The spelling of 23040242272301 in words is "twenty-three trillion, forty billion, two hundred forty-two million, two hundred seventy-two thousand, three hundred one".