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1102112 = 251131101
BaseRepresentation
bin100001101000100100000
32001222210222
410031010200
5240231422
635342212
712240104
oct4150440
92058728
101102112
11693040
12451968
132c784b
14209904
1516b842
hex10d120

1102112 has 48 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 480000.

The previous prime is 1102111. The next prime is 1102117. The reversal of 1102112 is 2112011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1102112.

It is not an unprimeable number, because it can be changed into a prime (1102111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10862 + ... + 10962.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

21102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

1102112 is an abundant number, since it is smaller than the sum of its proper divisors (1365472).

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

1102112 is a wasteful number, since it uses less digits than its factorization.

1102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1102112 is about 1049.8152218367. The cubic root of 1102112 is about 103.2940352359.

Adding to 1102112 its reverse (2112011), we get a palindrome (3214123).

It can be divided in two parts, 110 and 2112, that added together give a palindrome (2222).

The spelling of 1102112 in words is "one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 101 124 176 202 248 341 352 404 496 682 808 992 1111 1364 1616 2222 2728 3131 3232 4444 5456 6262 8888 10912 12524 17776 25048 34441 35552 50096 68882 100192 137764 275528 551056 1102112