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213300000012 = 223112370256917
BaseRepresentation
bin1100011010100110101…
…0111011010100001100
3202101120020120200121110
43012221222323110030
511443314300000022
6241553315132020
721260526041151
oct3065152732414
9671506520543
10213300000012
1182507320050
12354098a4010
13171638bb978
14a476620228
155835dd500c
hex31a9abb50c

213300000012 has 48 divisors (see below), whose sum is σ = 566551786752. Its totient is φ = 61826086080.

The previous prime is 213299999999. The next prime is 213300000013. The reversal of 213300000012 is 210000003312.

It is a happy number.

213300000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (213300000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35125423 + ... + 35131494.

It is an arithmetic number, because the mean of its divisors is an integer number (11803162224).

Almost surely, 2213300000012 is an apocalyptic number.

213300000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213300000012 is an abundant number, since it is smaller than the sum of its proper divisors (353251786740).

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

213300000012 is a wasteful number, since it uses less digits than its factorization.

213300000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70256958 (or 70256956 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 213300000012 its reverse (210000003312), we get a palindrome (423300003324).

It can be divided in two parts, 21 and 3300000012, that added together give a palindrome (3300000033).

The spelling of 213300000012 in words is "two hundred thirteen billion, three hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 70256917 140513834 210770751 281027668 421541502 772826087 843083004 1545652174 1615909091 2318478261 3091304348 3231818182 4636956522 4847727273 6463636364 9273913044 9695454546 17775000001 19390909092 35550000002 53325000003 71100000004 106650000006 213300000012