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20002201012249 is a prime number
BaseRepresentation
bin1001000110001001000000…
…00101100000100000011001
32121211012011210001111211221
410203010200011200200121
510110204001424342444
6110312515001252041
74133053121225131
oct443044005404031
977735153044757
1020002201012249
116411982019125
1222b0688794021
13b212792ab051
144d217c6bdac1
1524a483202a84
hex123120160819

20002201012249 has 2 divisors, whose sum is σ = 20002201012250. Its totient is φ = 20002201012248.

The previous prime is 20002201012177. The next prime is 20002201012303. The reversal of 20002201012249 is 94221010220002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18522737478025 + 1479463534224 = 4303805^2 + 1216332^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002201012249 - 237 = 19864762058777 is a prime.

It is not a weakly prime, because it can be changed into another prime (20002201012649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001100506124 + 10001100506125.

It is an arithmetic number, because the mean of its divisors is an integer number (10001100506125).

Almost surely, 220002201012249 is an apocalyptic number.

It is an amenable number.

20002201012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002201012249 is an equidigital number, since it uses as much as digits as its factorization.

20002201012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 20002201012249 in words is "twenty trillion, two billion, two hundred one million, twelve thousand, two hundred forty-nine".