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110000112 = 24337241257
BaseRepresentation
bin1101000111001…
…11011111110000
321122222120210020
412203213133300
5211130000422
614525403440
72503662015
oct643473760
9248876706
10110000112
1157101792
1230a09580
1319a35431
141087570c
1599cc95c
hex68e77f0

110000112 has 80 divisors (see below), whose sum is σ = 294198432. Its totient is φ = 35389440.

The previous prime is 110000083. The next prime is 110000117. The reversal of 110000112 is 211000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 110000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427888 + ... + 428144.

Almost surely, 2110000112 is an apocalyptic number.

110000112 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 110000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147099216).

110000112 is an abundant number, since it is smaller than the sum of its proper divisors (184198320).

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

110000112 is a wasteful number, since it uses less digits than its factorization.

110000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 110000112 is about 10488.0938210907. The cubic root of 110000112 is about 479.1421483241.

Adding to 110000112 its reverse (211000011), we get a palindrome (321000123).

It can be divided in two parts, 11000011 and 2, that multiplied together give a palindrome (22000022).

The spelling of 110000112 in words is "one hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 241 257 296 444 482 514 592 723 771 888 964 1028 1446 1542 1776 1928 2056 2892 3084 3856 4112 5784 6168 8917 9509 11568 12336 17834 19018 26751 28527 35668 38036 53502 57054 61937 71336 76072 107004 114108 123874 142672 152144 185811 214008 228216 247748 371622 428016 456432 495496 743244 990992 1486488 2291669 2972976 4583338 6875007 9166676 13750014 18333352 27500028 36666704 55000056 110000112