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20002200200029 is a prime number
BaseRepresentation
bin1001000110001001000000…
…00010011010001101011101
32121211012011201112020200201
410203010200002122031131
510110204001222400104
6110312514532023501
74133053111303135
oct443044002321535
977735151466621
1020002200200029
116411981613973
1222b0688461b91
13b21279085448
144d217c54bac5
1524a4830e20a4
hex12312009a35d

20002200200029 has 2 divisors, whose sum is σ = 20002200200030. Its totient is φ = 20002200200028.

The previous prime is 20002200200011. The next prime is 20002200200033. The reversal of 20002200200029 is 92000200220002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20000975340025 + 1224860004 = 4472245^2 + 34998^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002200200029 - 217 = 20002200068957 is a prime.

It is a super-2 number, since 2×200022002000292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20002200199979 and 20002200200015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002201200029) 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, 10001100100014 + 10001100100015.

It is an arithmetic number, because the mean of its divisors is an integer number (10001100100015).

Almost surely, 220002200200029 is an apocalyptic number.

It is an amenable number.

20002200200029 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002200200029 is an equidigital number, since it uses as much as digits as its factorization.

20002200200029 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 19.

The spelling of 20002200200029 in words is "twenty trillion, two billion, two hundred million, two hundred thousand, twenty-nine".