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211211220200 = 235210128336947
BaseRepresentation
bin1100010010110100101…
…0110111010011101000
3202012011200011200101012
43010231022313103220
511430030033021300
6241010141243052
721155003515121
oct3045512672350
9665150150335
10211211220200
1181635255942
1234b26263488
1316bbcc2bb96
14a319055048
155762837435
hex312d2b74e8

211211220200 has 96 divisors (see below), whose sum is σ = 497693993760. Its totient is φ = 83350176000.

The previous prime is 211211220197. The next prime is 211211220211. The reversal of 211211220200 is 2022112112.

211211220200 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 2×2112112202002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5698127 + ... + 5735073.

It is an arithmetic number, because the mean of its divisors is an integer number (5184312435).

Almost surely, 2211211220200 is an apocalyptic number.

211211220200 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 211211220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248846996880).

211211220200 is an abundant number, since it is smaller than the sum of its proper divisors (286482773560).

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

211211220200 is a wasteful number, since it uses less digits than its factorization.

211211220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37347 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211211220200 its reverse (2022112112), we get a palindrome (213233332312).

It can be divided in two parts, 2112112 and 20200, that added together give a palindrome (2132312).

The spelling of 211211220200 in words is "two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 283 404 505 566 808 1010 1132 1415 2020 2264 2525 2830 4040 5050 5660 7075 10100 11320 14150 20200 28300 28583 36947 56600 57166 73894 114332 142915 147788 184735 228664 285830 295576 369470 571660 714575 738940 923675 1143320 1429150 1477880 1847350 2858300 3694700 3731647 5716600 7389400 7463294 10456001 14926588 18658235 20912002 29853176 37316470 41824004 52280005 74632940 83648008 93291175 104560010 149265880 186582350 209120020 261400025 373164700 418240040 522800050 746329400 1045600100 1056056101 2091200200 2112112202 4224224404 5280280505 8448448808 10560561010 21121122020 26401402525 42242244040 52802805050 105605610100 211211220200