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2200010200229 is a prime number
BaseRepresentation
bin100000000000111010110…
…100111001010010100101
321210022121111022202112202
4200000322310321102211
5242021110102401404
64402400513424245
7314642206104242
oct40007264712245
97708544282482
102200010200229
11779023449626
122b6462b6b085
1312c5c9a1528a
14786a40685c9
153c3622b921e
hex2003ad394a5

2200010200229 has 2 divisors, whose sum is σ = 2200010200230. Its totient is φ = 2200010200228.

The previous prime is 2200010200181. The next prime is 2200010200231. The reversal of 2200010200229 is 9220020100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1935632212900 + 264377987329 = 1391270^2 + 514177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200010200229 is a prime.

It is a super-2 number, since 2×22000102002292 (a number of 25 digits) contains 22 as substring.

Together with 2200010200231, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2200010200229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200010200249) 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, 1100005100114 + 1100005100115.

It is an arithmetic number, because the mean of its divisors is an integer number (1100005100115).

Almost surely, 22200010200229 is an apocalyptic number.

It is an amenable number.

2200010200229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200010200229 is an equidigital number, since it uses as much as digits as its factorization.

2200010200229 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 20.

The spelling of 2200010200229 in words is "two trillion, two hundred billion, ten million, two hundred thousand, two hundred twenty-nine".