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123200313113 is a prime number
BaseRepresentation
bin111001010111101001…
…1111001011100011001
3102210000001010100202202
41302233103321130121
54004303240004423
6132333014135545
711621006245223
oct1625723713431
9383001110682
10123200313113
1148281401799
121ba636515b5
13b805235577
145d6a3b3413
153310e16728
hex1caf4f9719

123200313113 has 2 divisors, whose sum is σ = 123200313114. Its totient is φ = 123200313112.

The previous prime is 123200313059. The next prime is 123200313127. The reversal of 123200313113 is 311313002321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104870402569 + 18329910544 = 323837^2 + 135388^2 .

It is a cyclic number.

It is not a de Polignac number, because 123200313113 - 28 = 123200312857 is a prime.

It is a super-2 number, since 2×1232003131132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123200313013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600156556 + 61600156557.

It is an arithmetic number, because the mean of its divisors is an integer number (61600156557).

Almost surely, 2123200313113 is an apocalyptic number.

It is an amenable number.

123200313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123200313113 is an equidigital number, since it uses as much as digits as its factorization.

123200313113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123200313113 its reverse (311313002321), we get a palindrome (434513315434).

The spelling of 123200313113 in words is "one hundred twenty-three billion, two hundred million, three hundred thirteen thousand, one hundred thirteen".