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200210221000093 is a prime number
BaseRepresentation
bin101101100001011100010011…
…000110100110010110011101
3222020212220120112112100022211
4231201130103012212112131
5202220221013034000333
61545451150015040421
760112465626323563
oct5541342306462635
9866786515470284
10200210221000093
115887a750315167
121a5560b9b10111
138793986cc61b5
143762325355a33
151822dd99c7ecd
hexb617131a659d

200210221000093 has 2 divisors, whose sum is σ = 200210221000094. Its totient is φ = 200210221000092.

The previous prime is 200210221000067. The next prime is 200210221000117. The reversal of 200210221000093 is 390000122012002.

200210221000093 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., 116734259835769 + 83475961164324 = 10804363^2 + 9136518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200210221000093 is a prime.

It is a super-2 number, since 2×2002102210000932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200210221000033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105110500046 + 100105110500047.

It is an arithmetic number, because the mean of its divisors is an integer number (100105110500047).

Almost surely, 2200210221000093 is an apocalyptic number.

It is an amenable number.

200210221000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210221000093 is an equidigital number, since it uses as much as digits as its factorization.

200210221000093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 200210221000093 its reverse (390000122012002), we get a palindrome (590210343012095).

The spelling of 200210221000093 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, ninety-three", and thus it is an aban number.