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2200122212333 is a prime number
BaseRepresentation
bin100000000001000001100…
…000001011111111101101
321210022220022002120021012
4200001001200023333231
5242021322241243313
64402415554315005
7314645036146163
oct40010140137755
97708808076235
102200122212333
117790806a4a11
122b6494588a65
1312c616ca3426
14786b4ca5233
153c36c042da8
hex2004180bfed

2200122212333 has 2 divisors, whose sum is σ = 2200122212334. Its totient is φ = 2200122212332.

The previous prime is 2200122212273. The next prime is 2200122212357. The reversal of 2200122212333 is 3332122210022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2066285501764 + 133836710569 = 1437458^2 + 365837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200122212333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200122212299 and 2200122212308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200128212333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100061106166 + 1100061106167.

It is an arithmetic number, because the mean of its divisors is an integer number (1100061106167).

Almost surely, 22200122212333 is an apocalyptic number.

It is an amenable number.

2200122212333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200122212333 is an equidigital number, since it uses as much as digits as its factorization.

2200122212333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2200122212333 its reverse (3332122210022), we get a palindrome (5532244422355).

The spelling of 2200122212333 in words is "two trillion, two hundred billion, one hundred twenty-two million, two hundred twelve thousand, three hundred thirty-three".