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213231320200 = 23524739757139
BaseRepresentation
bin1100011010010110010…
…0111011110010001000
3202101101110100101121201
43012211210323302020
511443144204221300
6241542423113544
721256033213363
oct3064544736210
9671343311551
10213231320200
1182481580978
12353aa8a28b4
13171525c3022
14a46b4630da
15582ed6a66a
hex31a593bc88

213231320200 has 96 divisors (see below), whose sum is σ = 507595190400. Its totient is φ = 83266064640.

The previous prime is 213231320189. The next prime is 213231320209. The reversal of 213231320200 is 2023132312.

It is not an unprimeable number, because it can be changed into a prime (213231320209) 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, 3703231 + ... + 3760369.

It is an arithmetic number, because the mean of its divisors is an integer number (5287449900).

Almost surely, 2213231320200 is an apocalyptic number.

213231320200 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 213231320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253797595200).

213231320200 is an abundant number, since it is smaller than the sum of its proper divisors (294363870200).

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

213231320200 is a wasteful number, since it uses less digits than its factorization.

213231320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57599 (or 57590 counting only the distinct ones).

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

Adding to 213231320200 its reverse (2023132312), we get a palindrome (215254452512).

The spelling of 213231320200 in words is "two hundred thirteen billion, two hundred thirty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 397 470 794 940 1175 1588 1880 1985 2350 3176 3970 4700 7940 9400 9925 15880 18659 19850 37318 39700 57139 74636 79400 93295 114278 149272 186590 228556 285695 373180 457112 466475 571390 746360 932950 1142780 1428475 1865900 2285560 2685533 2856950 3731800 5371066 5713900 10742132 11427800 13427665 21484264 22684183 26855330 45368366 53710660 67138325 90736732 107421320 113420915 134276650 181473464 226841830 268553300 453683660 537106600 567104575 907367320 1066156601 1134209150 2132313202 2268418300 4264626404 4536836600 5330783005 8529252808 10661566010 21323132020 26653915025 42646264040 53307830050 106615660100 213231320200