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201221121917 is a prime number
BaseRepresentation
bin1011101101100110110…
…1101010011101111101
3201020101110001002212002
42323121231222131331
511244100101400132
6232234550552045
720352306213134
oct2733155523575
9636343032762
10201221121917
1178379094172
1232bb8668625
1315c8a2ca61a
149a4c34c91b
15537a783262
hex2ed9b6a77d

201221121917 has 2 divisors, whose sum is σ = 201221121918. Its totient is φ = 201221121916.

The previous prime is 201221121901. The next prime is 201221122007. The reversal of 201221121917 is 719121122102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198618183556 + 2602938361 = 445666^2 + 51019^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221121917 - 24 = 201221121901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201221121917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201221121317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610560958 + 100610560959.

It is an arithmetic number, because the mean of its divisors is an integer number (100610560959).

Almost surely, 2201221121917 is an apocalyptic number.

It is an amenable number.

201221121917 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221121917 is an equidigital number, since it uses as much as digits as its factorization.

201221121917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

The spelling of 201221121917 in words is "two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, nine hundred seventeen".