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213344200200 = 233521093325319
BaseRepresentation
bin1100011010110001001…
…1100010011000001000
3202101200022202021212110
43012230103202120020
511443412103401300
6242001534342320
721261603531525
oct3065423423010
9671608667773
10213344200200
118252a26a32a
123542065a9a0
131716cac6221
14a47c44814c
155839c16550
hex31ac4e2608

213344200200 has 96 divisors (see below), whose sum is σ = 661974148800. Its totient is φ = 56839560960.

The previous prime is 213344200087. The next prime is 213344200207. The reversal of 213344200200 is 2002443312.

It is not an unprimeable number, because it can be changed into a prime (213344200207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493141 + ... + 818459.

It is an arithmetic number, because the mean of its divisors is an integer number (6895564050).

Almost surely, 2213344200200 is an apocalyptic number.

213344200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213344200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330987074400).

213344200200 is an abundant number, since it is smaller than the sum of its proper divisors (448629948600).

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

213344200200 is a wasteful number, since it uses less digits than its factorization.

213344200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326431 (or 326422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 213344200200 its reverse (2002443312), we get a palindrome (215346643512).

The spelling of 213344200200 in words is "two hundred thirteen billion, three hundred forty-four million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1093 2186 3279 4372 5465 6558 8744 10930 13116 16395 21860 26232 27325 32790 43720 54650 65580 81975 109300 131160 163950 218600 325319 327900 650638 655800 975957 1301276 1626595 1951914 2602552 3253190 3903828 4879785 6506380 7807656 8132975 9759570 13012760 16265950 19519140 24398925 32531900 39038280 48797850 65063800 97595700 195191400 355573667 711147334 1066721001 1422294668 1777868335 2133442002 2844589336 3555736670 4266884004 5333605005 7111473340 8533768008 8889341675 10667210010 14222946680 17778683350 21334420020 26668025025 35557366700 42668840040 53336050050 71114733400 106672100100 213344200200