Search a number
-
+
211132033 = 724308817
BaseRepresentation
bin11001001010110…
…01111010000001
3112201021121200221
430211121322001
5413022211113
632541143041
75142410200
oct1445317201
9481247627
10211132033
11a91a6692
125a85aa81
13349841c8
142007d237
151380798d
hexc959e81

211132033 has 6 divisors (see below), whose sum is σ = 245602626. Its totient is φ = 180970272.

The previous prime is 211132013. The next prime is 211132057. The reversal of 211132033 is 330231112.

It can be written as a sum of positive squares in only one way, i.e., 130347889 + 80784144 = 11417^2 + 8988^2 .

It is a de Polignac number, because none of the positive numbers 2k-211132033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211131998 and 211132016.

It is not an unprimeable number, because it can be changed into a prime (211132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2154360 + ... + 2154457.

It is an arithmetic number, because the mean of its divisors is an integer number (40933771).

Almost surely, 2211132033 is an apocalyptic number.

It is an amenable number.

211132033 is a deficient number, since it is larger than the sum of its proper divisors (34470593).

211132033 is an equidigital number, since it uses as much as digits as its factorization.

211132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308831 (or 4308824 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 211132033 is about 14530.3830988725. The cubic root of 211132033 is about 595.4583319747.

Adding to 211132033 its reverse (330231112), we get a palindrome (541363145).

The spelling of 211132033 in words is "two hundred eleven million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 7 49 4308817 30161719 211132033