Search a number
-
+
112000000100 = 22521765882353
BaseRepresentation
bin110100001001110111…
…0000110000001100100
3101201002110202111201212
41220103232012001210
53313334000000400
6123241352410552
711043315202352
oct1502356060144
9351073674655
10112000000100
114355409785a
12198586a6a58
13a73b974311
1455c6a7c7d2
152da79aa335
hex1a13b86064

112000000100 has 36 divisors (see below), whose sum is σ = 257336474724. Its totient is φ = 42164705280.

The previous prime is 112000000069. The next prime is 112000000127. The reversal of 112000000100 is 1000000211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12054784 + 111987945316 = 3472^2 + 334646^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32939477 + ... + 32942876.

It is an arithmetic number, because the mean of its divisors is an integer number (7148235409).

Almost surely, 2112000000100 is an apocalyptic number.

112000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000000100 is an abundant number, since it is smaller than the sum of its proper divisors (145336474624).

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

112000000100 is a wasteful number, since it uses less digits than its factorization.

112000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65882384 (or 65882377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 112000000100 its reverse (1000000211), we get a palindrome (113000000311).

The spelling of 112000000100 in words is "one hundred twelve billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 65882353 131764706 263529412 329411765 658823530 1120000001 1317647060 1647058825 2240000002 3294117650 4480000004 5600000005 6588235300 11200000010 22400000020 28000000025 56000000050 112000000100