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130112 = 2619107
BaseRepresentation
bin11111110001000000
320121110222
4133301000
513130422
62442212
71051223
oct376100
9217428
10130112
1189834
1263368
13472b8
14355ba
1528842
hex1fc40

130112 has 28 divisors (see below), whose sum is σ = 274320. Its totient is φ = 61056.

The previous prime is 130099. The next prime is 130121. The reversal of 130112 is 211031.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 130112.

It is an unprimeable number.

130112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1163 + ... + 1269.

2130112 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 130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

130112 is an abundant number, since it is smaller than the sum of its proper divisors (144208).

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

130112 is a wasteful number, since it uses less digits than its factorization.

130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 130112 is about 360.7104101631. The cubic root of 130112 is about 50.6725139450.

Adding to 130112 its reverse (211031), we get a palindrome (341143).

It can be divided in two parts, 130 and 112, that added together give a palindrome (242).

The spelling of 130112 in words is "one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 152 214 304 428 608 856 1216 1712 2033 3424 4066 6848 8132 16264 32528 65056 130112