Search a number
-
+
212201130300 = 223522371942773
BaseRepresentation
bin1100010110100000101…
…1000100100100111100
3202021201122212022202020
43011220023010210330
511434041442132200
6241252302400140
721221353563315
oct3055013044474
9667648768666
10212201130300
1181aa3007a65
1235161890050
131701a0455c3
14a3b06d760c
1557be6c3ea0
hex31682c493c

212201130300 has 144 divisors (see below), whose sum is σ = 641568936960. Its totient is φ = 54050120960.

The previous prime is 212201130269. The next prime is 212201130311. The reversal of 212201130300 is 3031102212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212201130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4939714 + ... + 4982486.

It is an arithmetic number, because the mean of its divisors is an integer number (4455339840).

Almost surely, 2212201130300 is an apocalyptic number.

212201130300 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 212201130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320784468480).

212201130300 is an abundant number, since it is smaller than the sum of its proper divisors (429367806660).

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

212201130300 is a wasteful number, since it uses less digits than its factorization.

212201130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43532 (or 43525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212201130300 its reverse (3031102212), we get a palindrome (215232232512).

The spelling of 212201130300 in words is "two hundred twelve billion, two hundred one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 719 1150 1380 1438 1725 2157 2300 2876 3450 3595 4314 6900 7190 8628 10785 14380 16537 17975 21570 33074 35950 42773 43140 49611 53925 66148 71900 82685 85546 99222 107850 128319 165370 171092 198444 213865 215700 248055 256638 330740 413425 427730 496110 513276 641595 826850 855460 983779 992220 1069325 1240275 1283190 1653700 1967558 2138650 2480550 2566380 2951337 3207975 3935116 4277300 4918895 4961100 5902674 6415950 9837790 11805348 12831900 14756685 19675580 24594475 29513370 30753787 49188950 59026740 61507574 73783425 92261361 98377900 123015148 147566850 153768935 184522722 295133700 307537870 369045444 461306805 615075740 707337101 768844675 922613610 1414674202 1537689350 1845227220 2122011303 2306534025 2829348404 3075378700 3536685505 4244022606 4613068050 7073371010 8488045212 9226136100 10610056515 14146742020 17683427525 21220113030 35366855050 42440226060 53050282575 70733710100 106100565150 212201130300