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201221002249 is a prime number
BaseRepresentation
bin1011101101100110110…
…1001101010000001001
3201020101102211000200221
42323121231031100021
511244100034032444
6232234544230041
720352305204221
oct2733155152011
9636342730627
10201221002249
1178379012273
1232bb860b321
1315c8a288007
149a4c31b081
15537a75ca84
hex2ed9b4d409

201221002249 has 2 divisors, whose sum is σ = 201221002250. Its totient is φ = 201221002248.

The previous prime is 201221002219. The next prime is 201221002261. The reversal of 201221002249 is 942200122102.

201221002249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134898271225 + 66322731024 = 367285^2 + 257532^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221002249 - 25 = 201221002217 is a prime.

It is not a weakly prime, because it can be changed into another prime (201221002219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610501124 + 100610501125.

It is an arithmetic number, because the mean of its divisors is an integer number (100610501125).

Almost surely, 2201221002249 is an apocalyptic number.

It is an amenable number.

201221002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221002249 is an equidigital number, since it uses as much as digits as its factorization.

201221002249 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 201221002249 in words is "two hundred one billion, two hundred twenty-one million, two thousand, two hundred forty-nine".