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2220000013333 is a prime number
BaseRepresentation
bin100000010011100010010…
…011111110110000010101
321212020012121200111000001
4200103202103332300111
5242333030000411313
64415504240451301
7316250445522604
oct40234223766025
97766177614001
102220000013333
11786551150023
122ba301619b31
1313146426425b
147963cc5ba3b
153cb321c1add
hex204e24fec15

2220000013333 has 2 divisors, whose sum is σ = 2220000013334. Its totient is φ = 2220000013332.

The previous prime is 2220000013303. The next prime is 2220000013337. The reversal of 2220000013333 is 3333100000222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1973007911044 + 246992102289 = 1404638^2 + 496983^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220000013333 - 233 = 2211410078741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2220000013333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220000013337) 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, 1110000006666 + 1110000006667.

It is an arithmetic number, because the mean of its divisors is an integer number (1110000006667).

Almost surely, 22220000013333 is an apocalyptic number.

It is an amenable number.

2220000013333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220000013333 is an equidigital number, since it uses as much as digits as its factorization.

2220000013333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2220000013333 its reverse (3333100000222), we get a palindrome (5553100013555).

The spelling of 2220000013333 in words is "two trillion, two hundred twenty billion, thirteen thousand, three hundred thirty-three".