Search a number
-
+
23213241133109 is a prime number
BaseRepresentation
bin1010100011100110000001…
…11111011110100000110101
310001012011102200112201111122
411101303000333132200311
511020311204212224414
6121212003223113325
74614046520012426
oct521630077364065
9101164380481448
1023213241133109
11743a7534a7225
12272aa6b5a2845
13cc4ccb4612c1
145a3753a0d64d
152a3c6a232b8e
hex151cc0fde835

23213241133109 has 2 divisors, whose sum is σ = 23213241133110. Its totient is φ = 23213241133108.

The previous prime is 23213241133087. The next prime is 23213241133207. The reversal of 23213241133109 is 90133114231232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13718504822500 + 9494736310609 = 3703850^2 + 3081353^2 .

It is a cyclic number.

It is not a de Polignac number, because 23213241133109 - 220 = 23213240084533 is a prime.

It is a super-2 number, since 2×232132411331092 (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 (23213241133409) 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, 11606620566554 + 11606620566555.

It is an arithmetic number, because the mean of its divisors is an integer number (11606620566555).

Almost surely, 223213241133109 is an apocalyptic number.

It is an amenable number.

23213241133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

23213241133109 is an equidigital number, since it uses as much as digits as its factorization.

23213241133109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 23213241133109 in words is "twenty-three trillion, two hundred thirteen billion, two hundred forty-one million, one hundred thirty-three thousand, one hundred nine".