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1111100112 = 243317314867
BaseRepresentation
bin100001000111010…
…0000101011010000
32212102201201211000
41002032200223100
54233420200422
6302130422000
736351123633
oct10216405320
92772651730
101111100112
11520206a61
12270131900
131492691b5
14a77cbc1a
1567829cac
hex423a0ad0

1111100112 has 80 divisors (see below), whose sum is σ = 3207919680. Its totient is φ = 368201088.

The previous prime is 1111100101. The next prime is 1111100117. The reversal of 1111100112 is 2110011111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111100094 and 1111100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67303 + ... + 82169.

It is an arithmetic number, because the mean of its divisors is an integer number (40098996).

Almost surely, 21111100112 is an apocalyptic number.

1111100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603959840).

1111100112 is an abundant number, since it is smaller than the sum of its proper divisors (2096819568).

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

1111100112 is a wasteful number, since it uses less digits than its factorization.

1111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15057 (or 15045 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1111100112 is about 33333.1683462584. The cubic root of 1111100112 is about 1035.7407509605.

Adding to 1111100112 its reverse (2110011111), we get a palindrome (3221111223).

The spelling of 1111100112 in words is "one billion, one hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 173 216 346 432 519 692 1038 1384 1557 2076 2768 3114 4152 4671 6228 8304 9342 12456 14867 18684 24912 29734 37368 44601 59468 74736 89202 118936 133803 178404 237872 267606 356808 401409 535212 713616 802818 1070424 1605636 2140848 2571991 3211272 5143982 6422544 7715973 10287964 15431946 20575928 23147919 30863892 41151856 46295838 61727784 69443757 92591676 123455568 138887514 185183352 277775028 370366704 555550056 1111100112