Search a number
-
+
123301332353 is a prime number
BaseRepresentation
bin111001011010101010…
…1010000010110000001
3102210021002012200010002
41302311111100112001
54010010120113403
6132351023245345
711623344014033
oct1626525202601
9383232180102
10123301332353
1148323429a71
121ba91449855
13b820144c74
145d7998bc53
153319c1d188
hex1cb5550581

123301332353 has 2 divisors, whose sum is σ = 123301332354. Its totient is φ = 123301332352.

The previous prime is 123301332347. The next prime is 123301332359. The reversal of 123301332353 is 353233103321.

It is a balanced prime because it is at equal distance from previous prime (123301332347) and next prime (123301332359).

It can be written as a sum of positive squares in only one way, i.e., 116081941264 + 7219391089 = 340708^2 + 84967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123301332353 is a prime.

It is not a weakly prime, because it can be changed into another prime (123301332359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61650666176 + 61650666177.

It is an arithmetic number, because the mean of its divisors is an integer number (61650666177).

Almost surely, 2123301332353 is an apocalyptic number.

It is an amenable number.

123301332353 is a deficient number, since it is larger than the sum of its proper divisors (1).

123301332353 is an equidigital number, since it uses as much as digits as its factorization.

123301332353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 29.

Adding to 123301332353 its reverse (353233103321), we get a palindrome (476534435674).

The spelling of 123301332353 in words is "one hundred twenty-three billion, three hundred one million, three hundred thirty-two thousand, three hundred fifty-three".