Search a number
-
+
2112031331 is a prime number
BaseRepresentation
bin111110111100011…
…0000101001100011
312110012011022022122
41331320300221203
513311140000311
6545324054455
7103223653514
oct17570605143
95405138278
102112031331
11994206443
124ab39442b
132787411a7
141606dca0b
15c56420db
hex7de30a63

2112031331 has 2 divisors, whose sum is σ = 2112031332. Its totient is φ = 2112031330.

The previous prime is 2112031309. The next prime is 2112031351. The reversal of 2112031331 is 1331302112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2112031331 is a prime.

It is a super-2 number, since 2×21120313312 = 8921352686251263122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112031351) 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, 1056015665 + 1056015666.

It is an arithmetic number, because the mean of its divisors is an integer number (1056015666).

Almost surely, 22112031331 is an apocalyptic number.

2112031331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112031331 is an equidigital number, since it uses as much as digits as its factorization.

2112031331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2112031331 is about 45956.8420477300. The cubic root of 2112031331 is about 1283.0200763646.

Adding to 2112031331 its reverse (1331302112), we get a palindrome (3443333443).

The spelling of 2112031331 in words is "two billion, one hundred twelve million, thirty-one thousand, three hundred thirty-one".