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123110110181 is a prime number
BaseRepresentation
bin111001010100111101…
…1110011001111100101
3102202202202101120121102
41302221323303033211
54004112142011211
6132320032525445
711615532446012
oct1625173631745
9382682346542
10123110110181
11482354a1a13
121ba393b0885
13b7bc642156
145d5c412709
153308049a3b
hex1ca9ef33e5

123110110181 has 2 divisors, whose sum is σ = 123110110182. Its totient is φ = 123110110180.

The previous prime is 123110110171. The next prime is 123110110219. The reversal of 123110110181 is 181011011321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118067832100 + 5042278081 = 343610^2 + 71009^2 .

It is a cyclic number.

It is not a de Polignac number, because 123110110181 - 26 = 123110110117 is a prime.

It is a super-2 number, since 2×1231101101812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123110110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61555055090 + 61555055091.

It is an arithmetic number, because the mean of its divisors is an integer number (61555055091).

Almost surely, 2123110110181 is an apocalyptic number.

It is an amenable number.

123110110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

123110110181 is an equidigital number, since it uses as much as digits as its factorization.

123110110181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 20.

The spelling of 123110110181 in words is "one hundred twenty-three billion, one hundred ten million, one hundred ten thousand, one hundred eighty-one".