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10202222000209 is a prime number
BaseRepresentation
bin1001010001110110001111…
…0100010111100001010001
31100010022201101121020120211
42110131203310113201101
52314123122313001314
633410500332204121
72102041400110111
oct224354364274121
940108641536524
1010202222000209
113283813390928
121189313609641
135900b090ca05
14273b0c377041
1512a5b34cc9c4
hex94763d17851

10202222000209 has 2 divisors, whose sum is σ = 10202222000210. Its totient is φ = 10202222000208.

The previous prime is 10202222000161. The next prime is 10202222000273. The reversal of 10202222000209 is 90200022220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10181587539600 + 20634460609 = 3190860^2 + 143647^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202222000209 - 235 = 10167862261841 is a prime.

It is a super-3 number, since 3×102022220002093 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10202222000209.

It is not a weakly prime, because it can be changed into another prime (10202222006209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101111000104 + 5101111000105.

It is an arithmetic number, because the mean of its divisors is an integer number (5101111000105).

Almost surely, 210202222000209 is an apocalyptic number.

It is an amenable number.

10202222000209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202222000209 is an equidigital number, since it uses as much as digits as its factorization.

10202222000209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 10202222000209 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, two hundred nine", and thus it is an aban number.