Search a number
-
+
212321133230300 = 225219718015984299
BaseRepresentation
bin110000010001101011011101…
…101110010111100011011100
31000211202200221211112112002022
4300101223131232113203130
5210312132140101332200
62031322552043115312
762502460416624053
oct6021533556274334
91024680854475068
10212321133230300
1161719983565136
121b991311b12b38
139161a48b9c063
143a6057d33939a
151982e5eb36885
hexc11addb978dc

212321133230300 has 72 divisors (see below), whose sum is σ = 463332823707600. Its totient is φ = 84450413376000.

The previous prime is 212321133230299. The next prime is 212321133230329. The reversal of 212321133230300 is 3032331123212.

It is a self number, because there is not a number n which added to its sum of digits gives 212321133230300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32487551 + ... + 38471849.

It is an arithmetic number, because the mean of its divisors is an integer number (6435178107050).

Almost surely, 2212321133230300 is an apocalyptic number.

212321133230300 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 212321133230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231666411853800).

212321133230300 is an abundant number, since it is smaller than the sum of its proper divisors (251011690477300).

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

212321133230300 is a wasteful number, since it uses less digits than its factorization.

212321133230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986311 (or 5986304 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 212321133230300 its reverse (3032331123212), we get a palindrome (215353464353512).

The spelling of 212321133230300 in words is "two hundred twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1801 1970 3602 3940 4925 7204 9005 9850 18010 19700 36020 45025 90050 180100 354797 709594 1419188 1773985 3547970 5984299 7095940 8869925 11968598 17739850 23937196 29921495 35479700 59842990 119685980 149607475 299214950 598429900 1178906903 2357813806 4715627612 5894534515 10777722499 11789069030 21555444998 23578138060 29472672575 43110889996 53888612495 58945345150 107777224990 117890690300 215554449980 269443062475 538886124950 1077772249900 2123211332303 4246422664606 8492845329212 10616056661515 21232113323030 42464226646060 53080283307575 106160566615150 212321133230300