Search a number
-
+
211221002200 = 23521381238847
BaseRepresentation
bin1100010010110111000…
…0001011011111011000
3202012012100120122202111
43010231300023133120
511430040034032300
6241011131042104
721155152616065
oct3045560133730
9665170518674
10211221002200
118163a82723a
1234b295a0334
1316bc1c75450
14a31a47dc6c
15576361a9ba
hex312dc0b7d8

211221002200 has 48 divisors (see below), whose sum is σ = 528864900480. Its totient is φ = 77989292160.

The previous prime is 211221002191. The next prime is 211221002257. The reversal of 211221002200 is 2200122112.

It is a happy number.

211221002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112210022002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40616824 + ... + 40622023.

It is an arithmetic number, because the mean of its divisors is an integer number (11018018760).

Almost surely, 2211221002200 is an apocalyptic number.

211221002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221002200 is an abundant number, since it is smaller than the sum of its proper divisors (317643898280).

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

211221002200 is a wasteful number, since it uses less digits than its factorization.

211221002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81238876 (or 81238867 counting only the distinct ones).

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

Adding to 211221002200 its reverse (2200122112), we get a palindrome (213421124312).

The spelling of 211221002200 in words is "two hundred eleven billion, two hundred twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 81238847 162477694 324955388 406194235 649910776 812388470 1056105011 1624776940 2030971175 2112210022 3249553880 4061942350 4224420044 5280525055 8123884700 8448840088 10561050110 16247769400 21122100220 26402625275 42244200440 52805250550 105610501100 211221002200