Search a number
-
+
210201220122200 = 23527432650153377
BaseRepresentation
bin101111110010110101001001…
…000011101000011001011000
31000120021001002110000121220022
4233302311021003220121120
5210022414044322402300
62023021035112050012
762163352121542526
oct5762651103503130
91016231073017808
10210201220122200
1160a8192290841a
121b6aa4a3393908
139039b75454968
1439c9b16cc1316
151947c39619285
hexbf2d490e8658

210201220122200 has 96 divisors (see below), whose sum is σ = 489403234625760. Its totient is φ = 83962583040000.

The previous prime is 210201220122043. The next prime is 210201220122217. The reversal of 210201220122200 is 2221022102012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3938021912 + ... + 3938075288.

It is an arithmetic number, because the mean of its divisors is an integer number (5097950360685).

Almost surely, 2210201220122200 is an apocalyptic number.

210201220122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201220122200 is an abundant number, since it is smaller than the sum of its proper divisors (279202014503560).

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

210201220122200 is a wasteful number, since it uses less digits than its factorization.

210201220122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80637 (or 80628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 210201220122200 its reverse (2221022102012), we get a palindrome (212422242224212).

The spelling of 210201220122200 in words is "two hundred ten trillion, two hundred one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 743 1486 2972 3715 5944 7430 14860 18575 26501 29720 37150 53002 53377 74300 106004 106754 132505 148600 212008 213508 265010 266885 427016 530020 533770 662525 1060040 1067540 1325050 1334425 2135080 2650100 2668850 5300200 5337700 10675400 19690243 39380486 39659111 78760972 79318222 98451215 157521944 158636444 196902430 198295555 317272888 393804860 396591110 492256075 787609720 793182220 984512150 991477775 1414543877 1586364440 1969024300 1982955550 2829087754 3938048600 3965911100 5658175508 7072719385 7931822200 11316351016 14145438770 28290877540 35363596925 56581755080 70727193850 141454387700 282908775400 1051006100611 2102012201222 4204024402444 5255030503055 8408048804888 10510061006110 21020122012220 26275152515275 42040244024440 52550305030550 105100610061100 210201220122200