Search a number
-
+
1100113112 = 237217165083
BaseRepresentation
bin100000110010010…
…0110010011011000
32211200001112111002
41001210212103120
54223112104422
6301055124132
736155543600
oct10144462330
92750045432
101100113112
11514a9229a
12268513648
13146bc0307
14a616bc00
15668a9692
hex419264d8

1100113112 has 48 divisors (see below), whose sum is σ = 2540642760. Its totient is φ = 443740416.

The previous prime is 1100113111. The next prime is 1100113127. The reversal of 1100113112 is 2113110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1100113093 and 1100113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100113111) 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, 75878 + ... + 89205.

Almost surely, 21100113112 is an apocalyptic number.

It is an amenable number.

1100113112 is an abundant number, since it is smaller than the sum of its proper divisors (1440529648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100113112 is a wasteful number, since it uses less digits than its factorization.

1100113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165120 (or 165109 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1100113112 is about 33167.9530872799. The cubic root of 1100113112 is about 1032.3154970523.

Adding to 1100113112 its reverse (2113110011), we get a palindrome (3213223123).

The spelling of 1100113112 in words is "one billion, one hundred million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 165083 330166 660332 1155581 1320664 2311162 2806411 4622324 5612822 8089067 9244648 11225644 16178134 19644877 22451288 32356268 39289754 64712536 78579508 137514139 157159016 275028278 550056556 1100113112