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2221011039409 is a prime number
BaseRepresentation
bin100000010100011110100…
…100101111010010110001
321212022211002002221001021
4200110132210233102301
5242342112311230114
64420152434335441
7316314503225521
oct40243644572261
97768732087037
102221011039409
11786a1a914968
122ba54412a581
13131595862036
14796d7239681
153cb90d30024
hex2051e92f4b1

2221011039409 has 2 divisors, whose sum is σ = 2221011039410. Its totient is φ = 2221011039408.

The previous prime is 2221011039391. The next prime is 2221011039413. The reversal of 2221011039409 is 9049301101222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1534179504400 + 686831535009 = 1238620^2 + 828753^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221011039409 - 211 = 2221011037361 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221011039439) 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, 1110505519704 + 1110505519705.

It is an arithmetic number, because the mean of its divisors is an integer number (1110505519705).

Almost surely, 22221011039409 is an apocalyptic number.

It is an amenable number.

2221011039409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221011039409 is an equidigital number, since it uses as much as digits as its factorization.

2221011039409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 2221011039409 in words is "two trillion, two hundred twenty-one billion, eleven million, thirty-nine thousand, four hundred nine".