Search a number
-
+
212001000122200 = 235216711535505061
BaseRepresentation
bin110000001101000001010100…
…010011011110011101011000
31000210122002122012121122002211
4300031001110103132131120
5210241411022012402300
62030515525343404504
762440365262250302
oct6015012423363530
91023562565548084
10212001000122200
1161606134794823
121b93b269bb3734
13913a7bac2c443
143a4cc90382972
151979974bb74ba
hexc0d0544de758

212001000122200 has 96 divisors (see below), whose sum is σ = 496283981729760. Its totient is φ = 84219490713600.

The previous prime is 212001000122111. The next prime is 212001000122203. The reversal of 212001000122200 is 2221000100212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001000122203) 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, 35757670 + ... + 41262730.

It is an arithmetic number, because the mean of its divisors is an integer number (5169624809685).

Almost surely, 2212001000122200 is an apocalyptic number.

212001000122200 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 212001000122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248141990864880).

212001000122200 is an abundant number, since it is smaller than the sum of its proper divisors (284282981607560).

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

212001000122200 is a wasteful number, since it uses less digits than its factorization.

212001000122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506397 (or 5506388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212001000122200 its reverse (2221000100212), we get a palindrome (214222000222412).

The spelling of 212001000122200 in words is "two hundred twelve trillion, one billion, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1153 1336 1670 2306 3340 4175 4612 5765 6680 8350 9224 11530 16700 23060 28825 33400 46120 57650 115300 192551 230600 385102 770204 962755 1540408 1925510 3851020 4813775 5505061 7702040 9627550 11010122 19255100 22020244 27525305 38510200 44040488 55050610 110101220 137626525 220202440 275253050 550506100 919345187 1101012200 1838690374 3677380748 4596725935 6347335333 7354761496 9193451870 12694670666 18386903740 22983629675 25389341332 31736676665 36773807480 45967259350 50778682664 63473353330 91934518700 126946706660 158683383325 183869037400 253893413320 317366766650 634733533300 1060005000611 1269467066600 2120010001222 4240020002444 5300025003055 8480040004888 10600050006110 21200100012220 26500125015275 42400200024440 53000250030550 106000500061100 212001000122200