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122221105837 is a prime number
BaseRepresentation
bin111000111010011110…
…0100001001010101101
3102200110210120110220121
41301310330201022231
54000302100341322
6132051514244541
711554516154425
oct1616474411255
9380423513817
10122221105837
114791969a886
121b82b726751
13b6aa3c858c
145cb6319485
1532a4e90ec7
hex1c74f212ad

122221105837 has 2 divisors, whose sum is σ = 122221105838. Its totient is φ = 122221105836.

The previous prime is 122221105823. The next prime is 122221105879. The reversal of 122221105837 is 738501122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69408010116 + 52813095721 = 263454^2 + 229811^2 .

It is an emirp because it is prime and its reverse (738501122221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122221105837 - 227 = 122086888109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221105807) 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, 61110552918 + 61110552919.

It is an arithmetic number, because the mean of its divisors is an integer number (61110552919).

Almost surely, 2122221105837 is an apocalyptic number.

It is an amenable number.

122221105837 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221105837 is an equidigital number, since it uses as much as digits as its factorization.

122221105837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 122221105837 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred five thousand, eight hundred thirty-seven".