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1022221000049 is a prime number
BaseRepresentation
bin11101110000000010001…
…11101001110101110001
310121201112100011012000212
432320001013221311301
5113222002034000144
62101333555353505
7133565406064514
oct16700107516561
93551470135025
101022221000049
11364581118147
121461438b2895
1375519b48492
14376936b4d7b
151b8cc49b49e
hexee011e9d71

1022221000049 has 2 divisors, whose sum is σ = 1022221000050. Its totient is φ = 1022221000048.

The previous prime is 1022221000019. The next prime is 1022221000063. The reversal of 1022221000049 is 9400001222201.

1022221000049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 866565501025 + 155655499024 = 930895^2 + 394532^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022221000049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022220999988 and 1022221000033.

It is not a weakly prime, because it can be changed into another prime (1022221000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511110500024 + 511110500025.

It is an arithmetic number, because the mean of its divisors is an integer number (511110500025).

Almost surely, 21022221000049 is an apocalyptic number.

It is an amenable number.

1022221000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022221000049 is an equidigital number, since it uses as much as digits as its factorization.

1022221000049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 1022221000049 in words is "one trillion, twenty-two billion, two hundred twenty-one million, forty-nine", and thus it is an aban number.