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122221001093 is a prime number
BaseRepresentation
bin111000111010011110…
…0000111100110000101
3102200110210101011020012
41301310330013212011
54000302034013333
6132051512120005
711554515240152
oct1616474074605
9380423334205
10122221001093
1147919629114
121b82b696005
13b6aa38c9b9
145cb62cd229
1532a4e6ee48
hex1c74f07985

122221001093 has 2 divisors, whose sum is σ = 122221001094. Its totient is φ = 122221001092.

The previous prime is 122221000973. The next prime is 122221001099. The reversal of 122221001093 is 390100122221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115383861124 + 6837139969 = 339682^2 + 82687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221001093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221001099) 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, 61110500546 + 61110500547.

It is an arithmetic number, because the mean of its divisors is an integer number (61110500547).

Almost surely, 2122221001093 is an apocalyptic number.

It is an amenable number.

122221001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221001093 is an equidigital number, since it uses as much as digits as its factorization.

122221001093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 122221001093 in words is "one hundred twenty-two billion, two hundred twenty-one million, one thousand, ninety-three".