Search a number
-
+
112973281 = 61297313
BaseRepresentation
bin1101011101111…
…01010111100001
321212120122012121
412232331113201
5212410121111
615113224241
72541154111
oct656752741
9255518177
10112973281
1158852553
1231a02081
131a5367c5
141100b041
159db8871
hex6bbd5e1

112973281 has 12 divisors (see below), whose sum is σ = 116410476. Its totient is φ = 109624320.

The previous prime is 112973261. The next prime is 112973291. The reversal of 112973281 is 182379211.

It can be written as a sum of positive squares in 6 ways, for example, as 78163281 + 34810000 = 8841^2 + 5900^2 .

It is not a de Polignac number, because 112973281 - 211 = 112971233 is a prime.

It is a super-2 number, since 2×1129732812 = 25525924439809922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112973251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360781 + ... + 361093.

It is an arithmetic number, because the mean of its divisors is an integer number (9700873).

Almost surely, 2112973281 is an apocalyptic number.

It is an amenable number.

112973281 is a deficient number, since it is larger than the sum of its proper divisors (3437195).

112973281 is an frugal number, since it uses more digits than its factorization.

112973281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 471 counting only the distinct ones).

The product of its digits is 6048, while the sum is 34.

The square root of 112973281 is about 10628.8889823913. Note that the first 3 decimals coincide. The cubic root of 112973281 is about 483.4207048814.

The spelling of 112973281 in words is "one hundred twelve million, nine hundred seventy-three thousand, two hundred eighty-one".

Divisors: 1 61 97 313 3721 5917 19093 30361 360937 1164673 1852021 112973281