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213382051360 = 2551333637821
BaseRepresentation
bin1100011010111010001…
…1111011011000100000
3202101202221222022220021
43012232203323120200
511444001301120420
6242005405523224
721262543340002
oct3065643733040
9671687868807
10213382051360
1182549672485
1235431273514
13171778b996a
14a48349c372
15583d1e17aa
hex31ae8fb620

213382051360 has 24 divisors (see below), whose sum is σ = 504115096716. Its totient is φ = 85352820480.

The previous prime is 213382051343. The next prime is 213382051361. The reversal of 213382051360 is 63150283312.

213382051360 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 2 ways, for example, as 194802180496 + 18579870864 = 441364^2 + 136308^2 .

It is not an unprimeable number, because it can be changed into a prime (213382051361) 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 3 ways as a sum of consecutive naturals, for example, 666818751 + ... + 666819070.

Almost surely, 2213382051360 is an apocalyptic number.

213382051360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213382051360 is an abundant number, since it is smaller than the sum of its proper divisors (290733045356).

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

213382051360 is a wasteful number, since it uses less digits than its factorization.

213382051360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637836 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 213382051360 in words is "two hundred thirteen billion, three hundred eighty-two million, fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1333637821 2667275642 5334551284 6668189105 10669102568 13336378210 21338205136 26672756420 42676410272 53345512840 106691025680 213382051360