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11340000018 = 2327317414957
BaseRepresentation
bin10101000111110101…
…01010101100010010
31002021022012200120200
422203322222230102
5141211020000033
65113131320030
7551005260354
oct124372525422
932238180520
1011340000018
11489a152946
1222458b0016
1310b94bbca9
147980d70d4
15465850013
hex2a3eaab12

11340000018 has 48 divisors (see below), whose sum is σ = 24925908696. Its totient is φ = 3725326080.

The previous prime is 11340000013. The next prime is 11340000029. The reversal of 11340000018 is 81000004311.

11340000018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8322365529 + 3017634489 = 91227^2 + 54933^2 .

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 (11340000013) 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 23 ways as a sum of consecutive naturals, for example, 2285196 + ... + 2290152.

Almost surely, 211340000018 is an apocalyptic number.

11340000018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11340000018 is an abundant number, since it is smaller than the sum of its proper divisors (13585908678).

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

11340000018 is a wasteful number, since it uses less digits than its factorization.

11340000018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11340000018 its reverse (81000004311), we get a palindrome (92340004329).

The spelling of 11340000018 in words is "eleven billion, three hundred forty million, eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 1741 3482 4957 5223 9914 10446 14871 15669 29742 31338 44613 89226 127093 254186 361861 381279 723722 762558 1085583 1143837 2171166 2287674 3256749 6513498 8630137 17260274 25890411 51780822 77671233 155342466 630000001 1260000002 1890000003 3780000006 5670000009 11340000018