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1022166512309 is a prime number
BaseRepresentation
bin11101101111111011101…
…11110011001010110101
310121201101112121220220102
432313331313303022311
5113221344111343214
62101324331443445
7133564144666235
oct16677567631265
93551345556812
101022166512309
11364553391758
121461295b6585
137550b77b507
143768a36dcc5
151b8c77d6bde
hexedfddf32b5

1022166512309 has 2 divisors, whose sum is σ = 1022166512310. Its totient is φ = 1022166512308.

The previous prime is 1022166512299. The next prime is 1022166512347. The reversal of 1022166512309 is 9032156612201.

It is an a-pointer prime, because the next prime (1022166512347) can be obtained adding 1022166512309 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 621293921284 + 400872591025 = 788222^2 + 633145^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022166512309 - 28 = 1022166512053 is a prime.

It is a super-2 number, since 2×10221665123092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022166512399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511083256154 + 511083256155.

It is an arithmetic number, because the mean of its divisors is an integer number (511083256155).

Almost surely, 21022166512309 is an apocalyptic number.

It is an amenable number.

1022166512309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022166512309 is an equidigital number, since it uses as much as digits as its factorization.

1022166512309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 1022166512309 in words is "one trillion, twenty-two billion, one hundred sixty-six million, five hundred twelve thousand, three hundred nine".