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211202001220 = 225714391048357
BaseRepresentation
bin1100010010110010011…
…1101100100101000100
3202012011000211022022111
43010230213230211010
511430020203014340
6241005211510404
721154532250460
oct3045447544504
9665130738274
10211202001220
1181630029551
1234b23158404
1316bbb051972
14a317b354a0
155761b15aea
hex312c9ec944

211202001220 has 48 divisors (see below), whose sum is σ = 507237534720. Its totient is φ = 72361724544.

The previous prime is 211202001139. The next prime is 211202001259. The reversal of 211202001220 is 22100202112.

It is a happy number.

211202001220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 211202001220.

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 15 ways as a sum of consecutive naturals, for example, 322719 + ... + 725638.

It is an arithmetic number, because the mean of its divisors is an integer number (10567448640).

Almost surely, 2211202001220 is an apocalyptic number.

211202001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202001220 is an abundant number, since it is smaller than the sum of its proper divisors (296035533500).

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

211202001220 is a wasteful number, since it uses less digits than its factorization.

211202001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049812 (or 1049810 counting only the distinct ones).

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

Adding to 211202001220 its reverse (22100202112), we get a palindrome (233302203332).

The spelling of 211202001220 in words is "two hundred eleven billion, two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1439 2878 5756 7195 10073 14390 20146 28780 40292 50365 100730 201460 1048357 2096714 4193428 5241785 7338499 10483570 14676998 20967140 29353996 36692495 73384990 146769980 1508585723 3017171446 6034342892 7542928615 10560100061 15085857230 21120200122 30171714460 42240400244 52800500305 105601000610 211202001220