Search a number
-
+
11103331221 = 323742017937
BaseRepresentation
bin10100101011100111…
…10110001110010101
31001122210212200000200
422111303312032111
5140214423044341
65033434531113
7542102521023
oct122563661625
931583780020
1011103331221
1147885a50a4
12219a596a99
13107c466498
147748cb713
1544eba0db6
hex295cf6395

11103331221 has 24 divisors (see below), whose sum is σ = 16477605144. Its totient is φ = 7199539200.

The previous prime is 11103331189. The next prime is 11103331271. The reversal of 11103331221 is 12213330111.

11103331221 is a `hidden beast` number, since 1 + 110 + 3 + 331 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4560300900 + 6543030321 = 67530^2 + 80889^2 .

It is not a de Polignac number, because 11103331221 - 25 = 11103331189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11103331194 and 11103331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103331271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394965 + ... + 1402901.

It is an arithmetic number, because the mean of its divisors is an integer number (686566881).

Almost surely, 211103331221 is an apocalyptic number.

It is an amenable number.

11103331221 is a deficient number, since it is larger than the sum of its proper divisors (5374273923).

11103331221 is a wasteful number, since it uses less digits than its factorization.

11103331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103331221 its reverse (12213330111), we get a palindrome (23316661332).

The spelling of 11103331221 in words is "eleven billion, one hundred three million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 4201 7937 12603 23811 37809 71433 155437 293669 466311 881007 1398933 2643021 33343337 100030011 300090033 1233703469 3701110407 11103331221