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2220100100093 is a prime number
BaseRepresentation
bin100000010011101000010…
…001110001111111111101
321212020110121000102020002
4200103220101301333331
5242333231111200333
64415522214004045
7316253102326001
oct40235021617775
97766417012202
102220100100093
117865a26a0757
122ba32b046625
1313147bc083a5
147964c272701
153cb3ad920e8
hex204e8471ffd

2220100100093 has 2 divisors, whose sum is σ = 2220100100094. Its totient is φ = 2220100100092.

The previous prime is 2220100100087. The next prime is 2220100100137. The reversal of 2220100100093 is 3900010010222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1890396756889 + 329703343204 = 1374917^2 + 574198^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220100100093 - 210 = 2220100099069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220100100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110050050046 + 1110050050047.

It is an arithmetic number, because the mean of its divisors is an integer number (1110050050047).

Almost surely, 22220100100093 is an apocalyptic number.

It is an amenable number.

2220100100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220100100093 is an equidigital number, since it uses as much as digits as its factorization.

2220100100093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 2220100100093 in words is "two trillion, two hundred twenty billion, one hundred million, one hundred thousand, ninety-three".