Search a number
-
+
112233300210 = 23251247036669
BaseRepresentation
bin110100010000110100…
…0000100000011110010
3101201200201202101022200
41220201220010003302
53314323211101320
6123320445044030
711052150211533
oct1504150040362
9351621671280
10112233300210
1143663854669
1219902856616
13a7780ba715
145609a4c68a
152dbd1e1290
hex1a21a040f2

112233300210 has 24 divisors (see below), whose sum is σ = 291806580780. Its totient is φ = 29928880032.

The previous prime is 112233300199. The next prime is 112233300211. The reversal of 112233300210 is 12003332211.

112233300210 is a `hidden beast` number, since 1 + 122 + 3 + 330 + 0 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100969511049 + 11263789161 = 317757^2 + 106131^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112233300211) 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 11 ways as a sum of consecutive naturals, for example, 623518245 + ... + 623518424.

Almost surely, 2112233300210 is an apocalyptic number.

112233300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112233300210 is an abundant number, since it is smaller than the sum of its proper divisors (179573280570).

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

112233300210 is a wasteful number, since it uses less digits than its factorization.

112233300210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247036682 (or 1247036679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112233300210 its reverse (12003332211), we get a palindrome (124236632421).

The spelling of 112233300210 in words is "one hundred twelve billion, two hundred thirty-three million, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1247036669 2494073338 3741110007 6235183345 7482220014 11223330021 12470366690 18705550035 22446660042 37411100070 56116650105 112233300210