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1022122000073 is a prime number
BaseRepresentation
bin11101101111110110011…
…01111111111011001001
310121201021102212110121002
432313323031333323021
5113221301213000243
62101320101424345
7133563064436036
oct16677315777311
93551242773532
101022122000073
11364530249a89
1214611670b0b5
1375502494c05
14376844a438d
151b8c3942eb8
hexedfb37fec9

1022122000073 has 2 divisors, whose sum is σ = 1022122000074. Its totient is φ = 1022122000072.

The previous prime is 1022121999979. The next prime is 1022122000157. The reversal of 1022122000073 is 3700002212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 989473846729 + 32648153344 = 994723^2 + 180688^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022122000073 - 210 = 1022121999049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022122060073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511061000036 + 511061000037.

It is an arithmetic number, because the mean of its divisors is an integer number (511061000037).

Almost surely, 21022122000073 is an apocalyptic number.

It is an amenable number.

1022122000073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022122000073 is an equidigital number, since it uses as much as digits as its factorization.

1022122000073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 1022122000073 its reverse (3700002212201), we get a palindrome (4722124212274).

The spelling of 1022122000073 in words is "one trillion, twenty-two billion, one hundred twenty-two million, seventy-three", and thus it is an aban number.