Search a number
-
+
123233805353 is a prime number
BaseRepresentation
bin111001011000101001…
…1101010010000101001
3102210002101010221111002
41302301103222100221
54004340323232403
6132340212044345
711621564030231
oct1626123522051
9383071127432
10123233805353
11482992a7a2a
121ba729036b5
13b80c160c69
145d70a10cc1
153313d30188
hex1cb14ea429

123233805353 has 2 divisors, whose sum is σ = 123233805354. Its totient is φ = 123233805352.

The previous prime is 123233805347. The next prime is 123233805391. The reversal of 123233805353 is 353508332321.

It is an a-pointer prime, because the next prime (123233805391) can be obtained adding 123233805353 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61668782224 + 61565023129 = 248332^2 + 248123^2 .

It is a cyclic number.

It is not a de Polignac number, because 123233805353 - 216 = 123233739817 is a prime.

It is not a weakly prime, because it can be changed into another prime (123233807353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61616902676 + 61616902677.

It is an arithmetic number, because the mean of its divisors is an integer number (61616902677).

Almost surely, 2123233805353 is an apocalyptic number.

It is an amenable number.

123233805353 is a deficient number, since it is larger than the sum of its proper divisors (1).

123233805353 is an equidigital number, since it uses as much as digits as its factorization.

123233805353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 123233805353 in words is "one hundred twenty-three billion, two hundred thirty-three million, eight hundred five thousand, three hundred fifty-three".