Search a number
-
+
123300301153 is a prime number
BaseRepresentation
bin111001011010101000…
…1010100100101100001
3102210021000021021120111
41302311101110211201
54010004334114103
6132350545211321
711623332160441
oct1626521244541
9383230237514
10123300301153
1148322895237
121ba91030b41
13b81cb737a3
145d797a0121
153319ab786d
hex1cb5454961

123300301153 has 2 divisors, whose sum is σ = 123300301154. Its totient is φ = 123300301152.

The previous prime is 123300301099. The next prime is 123300301177. The reversal of 123300301153 is 351103003321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121984643169 + 1315657984 = 349263^2 + 36272^2 .

It is a cyclic number.

It is not a de Polignac number, because 123300301153 - 213 = 123300292961 is a prime.

It is not a weakly prime, because it can be changed into another prime (123300301183) 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, 61650150576 + 61650150577.

It is an arithmetic number, because the mean of its divisors is an integer number (61650150577).

Almost surely, 2123300301153 is an apocalyptic number.

It is an amenable number.

123300301153 is a deficient number, since it is larger than the sum of its proper divisors (1).

123300301153 is an equidigital number, since it uses as much as digits as its factorization.

123300301153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 123300301153 its reverse (351103003321), we get a palindrome (474403304474).

The spelling of 123300301153 in words is "one hundred twenty-three billion, three hundred million, three hundred one thousand, one hundred fifty-three".