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211244102300 = 225271192929531
BaseRepresentation
bin1100010010111100100…
…0010011001010011100
3202012020222001021010202
43010233020103022130
511430111442233200
6241013314123032
721155553146240
oct3045710231234
9665228037122
10211244102300
1181651874730
1234b35280478
1316bc69a294a
14a31d574420
1557656801d5
hex312f21329c

211244102300 has 144 divisors (see below), whose sum is σ = 572145880320. Its totient is φ = 65769216000.

The previous prime is 211244102299. The next prime is 211244102317. The reversal of 211244102300 is 3201442112.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7138535 + ... + 7168065.

It is an arithmetic number, because the mean of its divisors is an integer number (3973235280).

Almost surely, 2211244102300 is an apocalyptic number.

211244102300 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 211244102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286072940160).

211244102300 is an abundant number, since it is smaller than the sum of its proper divisors (360901778020).

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

211244102300 is a wasteful number, since it uses less digits than its factorization.

211244102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30492 (or 30485 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211244102300 its reverse (3201442112), we get a palindrome (214445544412).

The spelling of 211244102300 in words is "two hundred eleven billion, two hundred forty-four million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 929 1100 1540 1858 1925 3716 3850 4645 6503 7700 9290 10219 13006 18580 20438 23225 26012 29531 32515 40876 46450 51095 59062 65030 71533 92900 102190 118124 130060 143066 147655 162575 204380 206717 255475 286132 295310 324841 325150 357665 413434 510950 590620 649682 650300 715330 738275 826868 1021900 1033585 1299364 1430660 1476550 1624205 1788325 2067170 2273887 2953100 3248410 3576650 4134340 4547774 5167925 6496820 7153300 8121025 9095548 10335850 11369435 16242050 20671700 22738870 27434299 32484100 45477740 54868598 56847175 109737196 113694350 137171495 192040093 227388700 274342990 301777289 384080186 548685980 603554578 685857475 768160372 960200465 1207109156 1371714950 1508886445 1920400930 2112441023 2743429900 3017772890 3840801860 4224882046 4801002325 6035545780 7544432225 8449764092 9602004650 10562205115 15088864450 19204009300 21124410230 30177728900 42248820460 52811025575 105622051150 211244102300