Search a number
-
+
300110112 = 25321761297
BaseRepresentation
bin10001111000110…
…101000100100000
3202220201011200100
4101320311010200
51103312010422
645440222400
710302615411
oct2170650440
9686634610
10300110112
1114444a195
128460aa00
134a238c63
142bc01808
151b5317ac
hex11e35120

300110112 has 72 divisors (see below), whose sum is σ = 903655116. Its totient is φ = 94150656.

The previous prime is 300110093. The next prime is 300110123. The reversal of 300110112 is 211011003.

It can be written as a sum of positive squares in 2 ways, for example, as 299843856 + 266256 = 17316^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 300110094 and 300110103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25753 + ... + 35544.

Almost surely, 2300110112 is an apocalyptic number.

300110112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

300110112 is an abundant number, since it is smaller than the sum of its proper divisors (603545004).

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

300110112 is a wasteful number, since it uses less digits than its factorization.

300110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61330 (or 61319 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 300110112 is about 17323.6864437105. The cubic root of 300110112 is about 669.5148429537.

Adding to 300110112 its reverse (211011003), we get a palindrome (511121115).

The spelling of 300110112 in words is "three hundred million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 61297 122594 183891 245188 367782 490376 551673 735564 980752 1042049 1103346 1471128 1961504 2084098 2206692 2942256 3126147 4168196 4413384 5884512 6252294 8336392 8826768 9378441 12504588 16672784 17653536 18756882 25009176 33345568 37513764 50018352 75027528 100036704 150055056 300110112