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11100000106 = 213239782721
BaseRepresentation
bin10100101011001110…
…01000111101101010
31001122120121102121001
422111213020331222
5140213100000411
65033235305214
7542032305226
oct122547107552
931576542531
1011100000106
11478672a408
12219944b20a
13107b86b200
147742a1786
1544e743dc1
hex2959c8f6a

11100000106 has 24 divisors (see below), whose sum is σ = 18074922444. Its totient is φ = 5110110720.

The previous prime is 11100000101. The next prime is 11100000113. The reversal of 11100000106 is 60100000111.

It can be written as a sum of positive squares in 6 ways, for example, as 873734481 + 10226265625 = 29559^2 + 101125^2 .

It is a super-2 number, since 2×111000001062 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11100000092 and 11100000101.

It is not an unprimeable number, because it can be changed into a prime (11100000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92826 + ... + 175546.

Almost surely, 211100000106 is an apocalyptic number.

11100000106 is a deficient number, since it is larger than the sum of its proper divisors (6974922338).

11100000106 is a wasteful number, since it uses less digits than its factorization.

11100000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83146 (or 83133 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11100000106 its reverse (60100000111), we get a palindrome (71200000217).

The spelling of 11100000106 in words is "eleven billion, one hundred million, one hundred six", and thus it is an aban number.

Divisors: 1 2 13 26 169 338 397 794 5161 10322 67093 82721 134186 165442 1075373 2150746 13979849 27959698 32840237 65680474 426923081 853846162 5550000053 11100000106