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2220332300201 is a prime number
BaseRepresentation
bin100000010011110110000…
…111100011011110101001
321212021001202221101220002
4200103312013203132221
5242334220032101301
64420001230512345
7316261622104151
oct40236607433651
97767052841802
102220332300201
11786701777074
122ba3949656b5
131314b8057bc2
1479671037761
153cb5145c16b
hex204f61e37a9

2220332300201 has 2 divisors, whose sum is σ = 2220332300202. Its totient is φ = 2220332300200.

The previous prime is 2220332300191. The next prime is 2220332300203. The reversal of 2220332300201 is 1020032330222.

2220332300201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1780292444176 + 440039856025 = 1334276^2 + 663355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220332300201 is a prime.

Together with 2220332300203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2220332300203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110166150100 + 1110166150101.

It is an arithmetic number, because the mean of its divisors is an integer number (1110166150101).

Almost surely, 22220332300201 is an apocalyptic number.

It is an amenable number.

2220332300201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220332300201 is an equidigital number, since it uses as much as digits as its factorization.

2220332300201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2220332300201 its reverse (1020032330222), we get a palindrome (3240364630423).

The spelling of 2220332300201 in words is "two trillion, two hundred twenty billion, three hundred thirty-two million, three hundred thousand, two hundred one".