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123031200101 is a prime number
BaseRepresentation
bin111001010010100111…
…0110010000101100101
3102202120020220112022212
41302211032302011211
54003431441400401
6132304133333205
711613553642325
oct1624516620545
9382506815285
10123031200101
11481a49a5677
121ba16a97205
13b7a91a3bb4
145d51b51285
15330115ddbb
hex1ca53b2165

123031200101 has 2 divisors, whose sum is σ = 123031200102. Its totient is φ = 123031200100.

The previous prime is 123031200073. The next prime is 123031200107. The reversal of 123031200101 is 101002130321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91222120900 + 31809079201 = 302030^2 + 178351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123031200101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123031200107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61515600050 + 61515600051.

It is an arithmetic number, because the mean of its divisors is an integer number (61515600051).

Almost surely, 2123031200101 is an apocalyptic number.

It is an amenable number.

123031200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123031200101 is an equidigital number, since it uses as much as digits as its factorization.

123031200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 123031200101 its reverse (101002130321), we get a palindrome (224033330422).

The spelling of 123031200101 in words is "one hundred twenty-three billion, thirty-one million, two hundred thousand, one hundred one".