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1120100112 = 243237210229
BaseRepresentation
bin100001011000011…
…0101111100010000
32220001122222111100
41002300311330100
54243221200422
6303051344400
736520456665
oct10260657420
92801588440
101120100112
115252a387a
12273152100
1314b09a841
14a8a91a6c
15685067ac
hex42c35f10

1120100112 has 60 divisors (see below), whose sum is σ = 3219462220. Its totient is φ = 363273984.

The previous prime is 1120100087. The next prime is 1120100227. The reversal of 1120100112 is 2110010211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 450118656 + 669981456 = 21216^2 + 25884^2 .

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1120100094 and 1120100103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99787 + ... + 110442.

Almost surely, 21120100112 is an apocalyptic number.

1120100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120100112 is an abundant number, since it is smaller than the sum of its proper divisors (2099362108).

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

1120100112 is a wasteful number, since it uses less digits than its factorization.

1120100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210280 (or 210271 counting only the distinct ones).

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

The square root of 1120100112 is about 33467.8967370225. The cubic root of 1120100112 is about 1038.5297617679.

Adding to 1120100112 its reverse (2110010211), we get a palindrome (3230110323).

The spelling of 1120100112 in words is "one billion, one hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 210229 420458 630687 840916 1261374 1681832 1892061 2522748 3363664 3784122 5045496 7568244 7778473 10090992 15136488 15556946 23335419 30272976 31113892 46670838 62227784 70006257 93341676 124455568 140012514 186683352 280025028 373366704 560050056 1120100112