Search a number
-
+
10202222102221 is a prime number
BaseRepresentation
bin1001010001110110001111…
…0100110000011011001101
31100010022201101210102112001
42110131203310300123031
52314123122324232341
633410500334312301
72102041401013402
oct224354364603315
940108641712461
1010202222102221
113283813450536
121189313658691
135900b0947286
14273b0c3a22a9
1512a5b34ecd31
hex94763d306cd

10202222102221 has 2 divisors, whose sum is σ = 10202222102222. Its totient is φ = 10202222102220.

The previous prime is 10202222102183. The next prime is 10202222102227. The reversal of 10202222102221 is 12220122220201.

10202222102221 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., 5378971586121 + 4823250516100 = 2319261^2 + 2196190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202222102221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202222102227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101111051110 + 5101111051111.

It is an arithmetic number, because the mean of its divisors is an integer number (5101111051111).

Almost surely, 210202222102221 is an apocalyptic number.

It is an amenable number.

10202222102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202222102221 is an equidigital number, since it uses as much as digits as its factorization.

10202222102221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10202222102221 its reverse (12220122220201), we get a palindrome (22422344322422).

The spelling of 10202222102221 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-one".