Search a number
-
+
10200122210197 is a prime number
BaseRepresentation
bin1001010001101110011010…
…1010010011011110010101
31100010010022001110212012101
42110123212222103132111
52314104322241211242
633405512122322101
72101635352146253
oct224334652233625
940103261425171
1010200122210197
113282936086587
121188a28359331
1358cb3789660a
1427398d5435d3
1512a4ddea79b7
hex946e6a93795

10200122210197 has 2 divisors, whose sum is σ = 10200122210198. Its totient is φ = 10200122210196.

The previous prime is 10200122210147. The next prime is 10200122210209. The reversal of 10200122210197 is 79101222100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10197809946801 + 2312263396 = 3193401^2 + 48086^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200122210197 - 215 = 10200122177429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200122210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100061105098 + 5100061105099.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061105099).

Almost surely, 210200122210197 is an apocalyptic number.

It is an amenable number.

10200122210197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122210197 is an equidigital number, since it uses as much as digits as its factorization.

10200122210197 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 28.

Adding to 10200122210197 its reverse (79101222100201), we get a palindrome (89301344310398).

The spelling of 10200122210197 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred ten thousand, one hundred ninety-seven".