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10221220012189 is a prime number
BaseRepresentation
bin1001010010111101000000…
…1100000010000010011101
31100012010202101201020200011
42110233100030002002131
52314431024310342224
633423321425403221
72103313234413124
oct224572014020235
940163671636604
1010221220012189
11329088225947a
121190b35a99511
13591b1a832614
142749d1554abb
1512ad262c3394
hex94bd030209d

10221220012189 has 2 divisors, whose sum is σ = 10221220012190. Its totient is φ = 10221220012188.

The previous prime is 10221220012151. The next prime is 10221220012217. The reversal of 10221220012189 is 98121002212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7733171216164 + 2488048796025 = 2780858^2 + 1577355^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221220012189 - 27 = 10221220012061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221220012189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221220012489) 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, 5110610006094 + 5110610006095.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610006095).

Almost surely, 210221220012189 is an apocalyptic number.

It is an amenable number.

10221220012189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221220012189 is an equidigital number, since it uses as much as digits as its factorization.

10221220012189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 10221220012189 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, twelve thousand, one hundred eighty-nine".