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122020331309 is a prime number
BaseRepresentation
bin111000110100011111…
…0100111111100101101
3102122221210210002000222
41301220332213330231
53444344201100214
6132015543101125
711546530463102
oct1615076477455
9378853702028
10122020331309
1147826328a18
121b7944417a5
13b67792c896
145c977b4aa9
15329253238e
hex1c68fa7f2d

122020331309 has 2 divisors, whose sum is σ = 122020331310. Its totient is φ = 122020331308.

The previous prime is 122020331291. The next prime is 122020331327. The reversal of 122020331309 is 903133020221.

It is a balanced prime because it is at equal distance from previous prime (122020331291) and next prime (122020331327).

It can be written as a sum of positive squares in only one way, i.e., 112172746084 + 9847585225 = 334922^2 + 99235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122020331309 is a prime.

It is a super-2 number, since 2×1220203313092 (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 (122020334309) 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, 61010165654 + 61010165655.

It is an arithmetic number, because the mean of its divisors is an integer number (61010165655).

Almost surely, 2122020331309 is an apocalyptic number.

It is an amenable number.

122020331309 is a deficient number, since it is larger than the sum of its proper divisors (1).

122020331309 is an equidigital number, since it uses as much as digits as its factorization.

122020331309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 122020331309 in words is "one hundred twenty-two billion, twenty million, three hundred thirty-one thousand, three hundred nine".