Search a number
-
+
111000001221 = 32293711494253
BaseRepresentation
bin110011101100000011…
…1011001101011000101
3101121111210002022011100
41213120013121223011
53304312000014341
6122554231130313
711006453304624
oct1473007315305
9347453068140
10111000001221
11430906748aa
1219619813999
13a60c7377c5
14552dd316bb
152d49cc93b6
hex19d81d9ac5

111000001221 has 24 divisors (see below), whose sum is σ = 170344844280. Its totient is φ = 69517236096.

The previous prime is 111000001193. The next prime is 111000001237. The reversal of 111000001221 is 122100000111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66695645025 + 44304356196 = 258255^2 + 210486^2 .

It is not a de Polignac number, because 111000001221 - 227 = 110865783493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

111000001221 is a modest number, since divided by 1221 gives 1110 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000001421) 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, 5737470 + ... + 5756783.

It is an arithmetic number, because the mean of its divisors is an integer number (7097701845).

Almost surely, 2111000001221 is an apocalyptic number.

It is an amenable number.

111000001221 is a deficient number, since it is larger than the sum of its proper divisors (59344843059).

111000001221 is a wasteful number, since it uses less digits than its factorization.

111000001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494325 (or 11494322 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111000001221 its reverse (122100000111), we get a palindrome (233100001332).

The spelling of 111000001221 in words is "one hundred eleven billion, one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 11494253 34482759 103448277 333333337 425287361 1000000011 1275862083 3000000033 3827586249 12333333469 37000000407 111000001221