Search a number
-
+
12212210010193 is a prime number
BaseRepresentation
bin1011000110110110000001…
…1100001000100001010001
31121020110211220122120110121
42301231200130020201101
53100041101230311233
641550113431030241
72400205643231614
oct261554034104121
947213756576417
1012212210010193
1139891951a7416
12145298450b381
136a77b6523c5b
1430310754817b
15162a0329a92d
hexb1b60708851

12212210010193 has 2 divisors, whose sum is σ = 12212210010194. Its totient is φ = 12212210010192.

The previous prime is 12212210010137. The next prime is 12212210010227. The reversal of 12212210010193 is 39101001221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7208322868224 + 5003887141969 = 2684832^2 + 2236937^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212210010193 is a prime.

It is a super-2 number, since 2×122122100101932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12212210010103) 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, 6106105005096 + 6106105005097.

It is an arithmetic number, because the mean of its divisors is an integer number (6106105005097).

Almost surely, 212212210010193 is an apocalyptic number.

It is an amenable number.

12212210010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212210010193 is an equidigital number, since it uses as much as digits as its factorization.

12212210010193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 12212210010193 in words is "twelve trillion, two hundred twelve billion, two hundred ten million, ten thousand, one hundred ninety-three".