Search a number
-
+
23332301112101 is a prime number
BaseRepresentation
bin1010100111000011110011…
…00001010000001100100101
310001121112202011220022121012
411103201321201100030211
511024234023041041401
6121342413335432005
74625463113103002
oct523417141201445
9101545664808535
1023332301112101
11748619a784683
122749b58525605
1310032c397ba07
145a940a17c8a9
152a6dd79038bb
hex153879850325

23332301112101 has 2 divisors, whose sum is σ = 23332301112102. Its totient is φ = 23332301112100.

The previous prime is 23332301112091. The next prime is 23332301112161. The reversal of 23332301112101 is 10121110323332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16780615852225 + 6551685259876 = 4096415^2 + 2559626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23332301112101 is a prime.

It is a super-2 number, since 2×233323011121012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23332301112161) 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, 11666150556050 + 11666150556051.

It is an arithmetic number, because the mean of its divisors is an integer number (11666150556051).

Almost surely, 223332301112101 is an apocalyptic number.

It is an amenable number.

23332301112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23332301112101 is an equidigital number, since it uses as much as digits as its factorization.

23332301112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 23332301112101 its reverse (10121110323332), we get a palindrome (33453411435433).

The spelling of 23332301112101 in words is "twenty-three trillion, three hundred thirty-two billion, three hundred one million, one hundred twelve thousand, one hundred one".