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122661170189 is a prime number
BaseRepresentation
bin111001000111100101…
…1001110110000001101
3102201121110122001201022
41302033023032300031
54002202224421224
6132203314323525
711601441513035
oct1621713166015
9381543561638
10122661170189
114802503a728
121b932b895a5
13b74a626a9c
145d1894c8c5
1532cd91a65e
hex1c8f2cec0d

122661170189 has 2 divisors, whose sum is σ = 122661170190. Its totient is φ = 122661170188.

The previous prime is 122661170143. The next prime is 122661170207. The reversal of 122661170189 is 981071166221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120223773289 + 2437396900 = 346733^2 + 49370^2 .

It is a cyclic number.

It is not a de Polignac number, because 122661170189 - 216 = 122661104653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122661179189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61330585094 + 61330585095.

It is an arithmetic number, because the mean of its divisors is an integer number (61330585095).

Almost surely, 2122661170189 is an apocalyptic number.

It is an amenable number.

122661170189 is a deficient number, since it is larger than the sum of its proper divisors (1).

122661170189 is an equidigital number, since it uses as much as digits as its factorization.

122661170189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 122661170189 in words is "one hundred twenty-two billion, six hundred sixty-one million, one hundred seventy thousand, one hundred eighty-nine".