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122110200181 is a prime number
BaseRepresentation
bin111000110111001010…
…1011100100101110101
3102200012001212212221201
41301232111130211311
54000040202401211
6132032513212501
711552001401344
oct1615625344565
9380161785851
10122110200181
114787202a812
121b7ba561131
13b690436c28
145ca56c9b5b
15329a3850c1
hex1c6e55c975

122110200181 has 2 divisors, whose sum is σ = 122110200182. Its totient is φ = 122110200180.

The previous prime is 122110200143. The next prime is 122110200193. The reversal of 122110200181 is 181002011221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74442211281 + 47667988900 = 272841^2 + 218330^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122110200181 is a prime.

It is a super-2 number, since 2×1221102001812 (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 (122110200281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055100090 + 61055100091.

It is an arithmetic number, because the mean of its divisors is an integer number (61055100091).

Almost surely, 2122110200181 is an apocalyptic number.

It is an amenable number.

122110200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110200181 is an equidigital number, since it uses as much as digits as its factorization.

122110200181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 122110200181 in words is "one hundred twenty-two billion, one hundred ten million, two hundred thousand, one hundred eighty-one".