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213132023200 = 2552266415029
BaseRepresentation
bin1100011001111110101…
…0001001010110100000
3202101010112111120202001
43012133222021112200
511442443244220300
6241524514533344
721253416206635
oct3063752112640
9671115446661
10213132023200
118243051a638
1235381597254
1317137b674c5
14a45c1b618c
1558262a416a
hex319fa895a0

213132023200 has 36 divisors (see below), whose sum is σ = 520308553590. Its totient is φ = 85252808960.

The previous prime is 213132023177. The next prime is 213132023201. The reversal of 213132023200 is 2320231312.

It can be written as a sum of positive squares in 3 ways, for example, as 114533511184 + 98598512016 = 338428^2 + 314004^2 .

It is not an unprimeable number, because it can be changed into a prime (213132023201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133206715 + ... + 133208314.

Almost surely, 2213132023200 is an apocalyptic number.

213132023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132023200 is an abundant number, since it is smaller than the sum of its proper divisors (307176530390).

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

213132023200 is a wasteful number, since it uses less digits than its factorization.

213132023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266415049 (or 266415036 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213132023200 its reverse (2320231312), we get a palindrome (215452254512).

The spelling of 213132023200 in words is "two hundred thirteen billion, one hundred thirty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 266415029 532830058 1065660116 1332075145 2131320232 2664150290 4262640464 5328300580 6660375725 8525280928 10656601160 13320751450 21313202320 26641502900 42626404640 53283005800 106566011600 213132023200