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12011100112331 is a prime number
BaseRepresentation
bin1010111011001000110101…
…0110110000010111001011
31120112020202012220020022222
42232302031112300113023
53033242213112043311
641313453452004255
72346526154266025
oct256621526602713
946466665806288
1012011100112331
113910973980561
12141b9b916068b
13691846299ba8
142d74a9cad015
1515c682687adb
hexaec8d5b05cb

12011100112331 has 2 divisors, whose sum is σ = 12011100112332. Its totient is φ = 12011100112330.

The previous prime is 12011100112309. The next prime is 12011100112339. The reversal of 12011100112331 is 13321100111021.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12011100112331 - 222 = 12011095918027 is a prime.

It is a super-3 number, since 3×120111001123313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12011100112339) 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, 6005550056165 + 6005550056166.

It is an arithmetic number, because the mean of its divisors is an integer number (6005550056166).

Almost surely, 212011100112331 is an apocalyptic number.

12011100112331 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011100112331 is an equidigital number, since it uses as much as digits as its factorization.

12011100112331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12011100112331 its reverse (13321100111021), we get a palindrome (25332200223352).

The spelling of 12011100112331 in words is "twelve trillion, eleven billion, one hundred million, one hundred twelve thousand, three hundred thirty-one".