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1112000112 = 243214951827
BaseRepresentation
bin100001001000111…
…1100011001110000
32212111102110101100
41002101330121300
54234133000422
6302202004400
736361562556
oct10221743160
92774373340
101112000112
11520771163
122704a6700
131494c2a42
14a7983bd6
15679567ac
hex4247c670

1112000112 has 60 divisors (see below), whose sum is σ = 3133002600. Its totient is φ = 368171904.

The previous prime is 1112000111. The next prime is 1112000161. The reversal of 1112000112 is 2110002111.

It is a happy number.

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 = 1112000094 and 1112000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112000111) by changing a digit.

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, 4458 + ... + 47369.

It is an arithmetic number, because the mean of its divisors is an integer number (52216710).

Almost surely, 21112000112 is an apocalyptic number.

1112000112 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 1112000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566501300).

1112000112 is an abundant number, since it is smaller than the sum of its proper divisors (2021002488).

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

1112000112 is a wasteful number, since it uses less digits than its factorization.

1112000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51990 (or 51981 counting only the distinct ones).

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

The square root of 1112000112 is about 33346.6656803945. The cubic root of 1112000112 is about 1036.0203282585.

Adding to 1112000112 its reverse (2110002111), we get a palindrome (3222002223).

The spelling of 1112000112 in words is "one billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 51827 103654 155481 207308 310962 414616 466443 621924 829232 932886 1243848 1865772 2487696 3731544 7463088 7722223 15444446 23166669 30888892 46333338 61777784 69500007 92666676 123555568 139000014 185333352 278000028 370666704 556000056 1112000112