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2200020000401 is a prime number
BaseRepresentation
bin100000000000111011011…
…010010001111010010001
321210022122011202122212002
4200000323122101322101
5242021120110003101
64402401503443345
7314642355312206
oct40007332217221
97708564678762
102200020000401
11779028a32643
122b64662b6555
1312c5cba66bb2
14786a5499cad
153c3630a2d6b
hex2003b691e91

2200020000401 has 2 divisors, whose sum is σ = 2200020000402. Its totient is φ = 2200020000400.

The previous prime is 2200020000263. The next prime is 2200020000449. The reversal of 2200020000401 is 1040000200022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2190995000401 + 9025000000 = 1480201^2 + 95000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200020000401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200020000491) 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, 1100010000200 + 1100010000201.

It is an arithmetic number, because the mean of its divisors is an integer number (1100010000201).

Almost surely, 22200020000401 is an apocalyptic number.

It is an amenable number.

2200020000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200020000401 is an equidigital number, since it uses as much as digits as its factorization.

2200020000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2200020000401 its reverse (1040000200022), we get a palindrome (3240020200423).

The spelling of 2200020000401 in words is "two trillion, two hundred billion, twenty million, four hundred one", and thus it is an aban number.