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2002220010233 is a prime number
BaseRepresentation
bin11101001000101101100…
…111001100101011111001
321002102002011012001111022
4131020231213030223321
5230301021310311413
64131450203312225
7264440610165062
oct35105547145371
97072064161438
102002220010233
11702155aa8393
1228406351b675
13116a684809b1
146cc9d659569
1537137d4d608
hex1d22d9ccaf9

2002220010233 has 2 divisors, whose sum is σ = 2002220010234. Its totient is φ = 2002220010232.

The previous prime is 2002220010209. The next prime is 2002220010257. The reversal of 2002220010233 is 3320100222002.

It is a balanced prime because it is at equal distance from previous prime (2002220010209) and next prime (2002220010257).

It can be written as a sum of positive squares in only one way, i.e., 1995673258489 + 6546751744 = 1412683^2 + 80912^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002220010233 - 232 = 1997925042937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002220610233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110005116 + 1001110005117.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110005117).

Almost surely, 22002220010233 is an apocalyptic number.

It is an amenable number.

2002220010233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002220010233 is an equidigital number, since it uses as much as digits as its factorization.

2002220010233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2002220010233 its reverse (3320100222002), we get a palindrome (5322320232235).

The spelling of 2002220010233 in words is "two trillion, two billion, two hundred twenty million, ten thousand, two hundred thirty-three".