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213332000320 = 2654116260061
BaseRepresentation
bin1100011010101110010…
…0111111111001000000
3202101122110210110210001
43012223210333321000
511443400443002240
6242000421045344
721261365040415
oct3065344777100
9671573713701
10213332000320
118252339738a
1235418556854
131716a41426a
14a47a99010c
155838b0689a
hex31ab93fe40

213332000320 has 56 divisors (see below), whose sum is σ = 520387024248. Its totient is φ = 83251507200.

The previous prime is 213332000311. The next prime is 213332000333. The reversal of 213332000320 is 23000233312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17953856064 + 195378144256 = 133992^2 + 442016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8116911 + ... + 8143150.

It is an arithmetic number, because the mean of its divisors is an integer number (9292625433).

Almost surely, 2213332000320 is an apocalyptic number.

213332000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332000320 is an abundant number, since it is smaller than the sum of its proper divisors (307055023928).

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

213332000320 is a wasteful number, since it uses less digits than its factorization.

213332000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260119 (or 16260109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 213332000320 its reverse (23000233312), we get a palindrome (236332233632).

The spelling of 213332000320 in words is "two hundred thirteen billion, three hundred thirty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 16260061 32520122 65040244 81300305 130080488 162600610 260160976 325201220 520321952 650402440 666662501 1040643904 1300804880 1333325002 2601609760 2666650004 3333312505 5203219520 5333300008 6666625010 10666600016 13333250020 21333200032 26666500040 42666400064 53333000080 106666000160 213332000320