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2220012022001 is a prime number
BaseRepresentation
bin100000010011100011000…
…001110010100011110001
321212020020110021120210112
4200103203001302203301
5242333041034201001
64415505350111105
7316250652556364
oct40234301624361
97766213246715
102220012022001
11786557a02344
122ba30564b495
131314668aa187
14796406a60db
153cb33294cbb
hex204e30728f1

2220012022001 has 2 divisors, whose sum is σ = 2220012022002. Its totient is φ = 2220012022000.

The previous prime is 2220012021977. The next prime is 2220012022051. The reversal of 2220012022001 is 1002202100222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2216156232976 + 3855789025 = 1488676^2 + 62095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220012022001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220012022051) 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, 1110006011000 + 1110006011001.

It is an arithmetic number, because the mean of its divisors is an integer number (1110006011001).

Almost surely, 22220012022001 is an apocalyptic number.

It is an amenable number.

2220012022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220012022001 is an equidigital number, since it uses as much as digits as its factorization.

2220012022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220012022001 its reverse (1002202100222), we get a palindrome (3222214122223).

The spelling of 2220012022001 in words is "two trillion, two hundred twenty billion, twelve million, twenty-two thousand, one".