[go: up one dir, main page]

Search a number
-
+
130112112 = 24313208513
BaseRepresentation
bin1111100000101…
…01101001110000
3100001211101021010
413300111221300
5231302041422
620524430520
73136635414
oct760255160
9301741233
10130112112
1167499179
12376a8440
1320c57820
14133ccd44
15b651b0c
hex7c15a70

130112112 has 40 divisors (see below), whose sum is σ = 361980304. Its totient is φ = 40034304.

The previous prime is 130112111. The next prime is 130112113. The reversal of 130112112 is 211211031.

It is an interprime number because it is at equal distance from previous prime (130112111) and next prime (130112113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112111) 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 7 ways as a sum of consecutive naturals, for example, 103633 + ... + 104880.

Almost surely, 2130112112 is an apocalyptic number.

130112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130112112 is an abundant number, since it is smaller than the sum of its proper divisors (231868192).

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

130112112 is a wasteful number, since it uses less digits than its factorization.

130112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208537 (or 208531 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 130112112 is about 11406.6696278975. The cubic root of 130112112 is about 506.7252848462.

Adding to 130112112 its reverse (211211031), we get a palindrome (341323143).

The spelling of 130112112 in words is "one hundred thirty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 208513 417026 625539 834052 1251078 1668104 2502156 2710669 3336208 5004312 5421338 8132007 10008624 10842676 16264014 21685352 32528028 43370704 65056056 130112112