Search a number
-
+
12011112211193 is a prime number
BaseRepresentation
bin1010111011001000111000…
…0100111010001011111001
31120112020210001122220211222
42232302032010322023321
53033242224211224233
641313455003201425
72346526362156464
oct256621604721371
946466701586758
1012011112211193
11391097a794617
12141ba01216275
13691848944b94
142d74ab73c2db
1515c683777898
hexaec8e13a2f9

12011112211193 has 2 divisors, whose sum is σ = 12011112211194. Its totient is φ = 12011112211192.

The previous prime is 12011112211187. The next prime is 12011112211213. The reversal of 12011112211193 is 39111221111021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7724191653049 + 4286920558144 = 2779243^2 + 2070488^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011112211193 - 210 = 12011112210169 is a prime.

It is not a weakly prime, because it can be changed into another prime (12011112211183) 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, 6005556105596 + 6005556105597.

It is an arithmetic number, because the mean of its divisors is an integer number (6005556105597).

Almost surely, 212011112211193 is an apocalyptic number.

It is an amenable number.

12011112211193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011112211193 is an equidigital number, since it uses as much as digits as its factorization.

12011112211193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 26.

The spelling of 12011112211193 in words is "twelve trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, one hundred ninety-three".