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212991041 is a prime number
BaseRepresentation
bin11001011000111…
…11110001000001
3112211210001210002
430230133301001
5414011203131
633045045345
75164252064
oct1454376101
9484701702
10212991041
11aa25635a
125b3b6855
1335185403
14204048db
1513a736cb
hexcb1fc41

212991041 has 2 divisors, whose sum is σ = 212991042. Its totient is φ = 212991040.

The previous prime is 212991013. The next prime is 212991061. The reversal of 212991041 is 140199212.

212991041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210859441 + 2131600 = 14521^2 + 1460^2 .

It is a cyclic number.

It is not a de Polignac number, because 212991041 - 210 = 212990017 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212990995 and 212991013.

It is not a weakly prime, because it can be changed into another prime (212991001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106495520 + 106495521.

It is an arithmetic number, because the mean of its divisors is an integer number (106495521).

Almost surely, 2212991041 is an apocalyptic number.

It is an amenable number.

212991041 is a deficient number, since it is larger than the sum of its proper divisors (1).

212991041 is an equidigital number, since it uses as much as digits as its factorization.

212991041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 212991041 is about 14594.2125858163. The cubic root of 212991041 is about 597.2008887858.

The spelling of 212991041 in words is "two hundred twelve million, nine hundred ninety-one thousand, forty-one".