Search a number
-
+
211203243200 = 26521021129287
BaseRepresentation
bin1100010010110010110…
…0011011110011000000
3202012011010011101222202
43010230230123303000
511430021012240300
6241005254252332
721154545642425
oct3045454336300
9665133141882
10211203243200
11816307a7684
1234b236570a8
1316bbb398071
14a317d79d4c
155761cadad5
hex312cb1bcc0

211203243200 has 84 divisors (see below), whose sum is σ = 520205006832. Its totient is φ = 84397900800.

The previous prime is 211203243149. The next prime is 211203243217. The reversal of 211203243200 is 2342302112.

211203243200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1568957 + ... + 1698243.

It is an arithmetic number, because the mean of its divisors is an integer number (6192916748).

Almost surely, 2211203243200 is an apocalyptic number.

211203243200 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 211203243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260102503416).

211203243200 is an abundant number, since it is smaller than the sum of its proper divisors (309001763632).

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

211203243200 is a wasteful number, since it uses less digits than its factorization.

211203243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130330 (or 130315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211203243200 its reverse (2342302112), we get a palindrome (213545545312).

The spelling of 211203243200 in words is "two hundred eleven billion, two hundred three million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1021 1600 2042 4084 5105 8168 10210 16336 20420 25525 32672 40840 51050 65344 81680 102100 129287 163360 204200 258574 326720 408400 517148 646435 816800 1034296 1292870 1633600 2068592 2585740 3232175 4137184 5171480 6464350 8274368 10342960 12928700 20685920 25857400 41371840 51714800 103429600 132002027 206859200 264004054 528008108 660010135 1056016216 1320020270 2112032432 2640040540 3300050675 4224064864 5280081080 6600101350 8448129728 10560162160 13200202700 21120324320 26400405400 42240648640 52800810800 105601621600 211203243200