Search a number
-
+
2011133221 is a prime number
BaseRepresentation
bin111011111011111…
…0111010100100101
312012011022011010121
41313313313110211
513104322230341
6531321321541
7100560231106
oct16767672445
95164264117
102011133221
11942261179
124816362b1
13260874976
141511563ad
15bb8614d1
hex77df7525

2011133221 has 2 divisors, whose sum is σ = 2011133222. Its totient is φ = 2011133220.

The previous prime is 2011133183. The next prime is 2011133227. The reversal of 2011133221 is 1223311102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1168682596 + 842450625 = 34186^2 + 29025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011133221 - 219 = 2010608933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011133195 and 2011133204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011133227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005566610 + 1005566611.

It is an arithmetic number, because the mean of its divisors is an integer number (1005566611).

Almost surely, 22011133221 is an apocalyptic number.

It is an amenable number.

2011133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011133221 is an equidigital number, since it uses as much as digits as its factorization.

2011133221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2011133221 is about 44845.6600018330. The cubic root of 2011133221 is about 1262.2545552463.

Adding to 2011133221 its reverse (1223311102), we get a palindrome (3234444323).

The spelling of 2011133221 in words is "two billion, eleven million, one hundred thirty-three thousand, two hundred twenty-one".