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211012100200 = 235211127755233
BaseRepresentation
bin1100010010000101001…
…1010010000001101000
3202011122210111100002101
43010201103102001220
511424123044201300
6240534305343144
721150035154256
oct3044123220150
9664583440071
10211012100200
1181542914060
1234a8b637ab4
1316b8a8c22b5
14a2da8215d6
155750103b6a
hex31214d2068

211012100200 has 96 divisors (see below), whose sum is σ = 539418332160. Its totient is φ = 76127385600.

The previous prime is 211012100161. The next prime is 211012100203. The reversal of 211012100200 is 2001210112.

It is a super-2 number, since 2×2110121002002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211012100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98217 + ... + 657016.

It is an arithmetic number, because the mean of its divisors is an integer number (5618940960).

Almost surely, 2211012100200 is an apocalyptic number.

211012100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012100200 is an abundant number, since it is smaller than the sum of its proper divisors (328406231960).

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

211012100200 is a wasteful number, since it uses less digits than its factorization.

211012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755387 (or 755378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211012100200 its reverse (2001210112), we get a palindrome (213013310312).

The spelling of 211012100200 in words is "two hundred eleven billion, twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 127 200 220 254 275 440 508 550 635 1016 1100 1270 1397 2200 2540 2794 3175 5080 5588 6350 6985 11176 12700 13970 25400 27940 34925 55880 69850 139700 279400 755233 1510466 3020932 3776165 6041864 7552330 8307563 15104660 16615126 18880825 30209320 33230252 37761650 41537815 66460504 75523300 83075630 95914591 151046600 166151260 191829182 207689075 332302520 383658364 415378150 479572955 767316728 830756300 959145910 1055060501 1661512600 1918291820 2110121002 2397864775 3836583640 4220242004 4795729550 5275302505 8440484008 9591459100 10550605010 19182918200 21101210020 26376512525 42202420040 52753025050 105506050100 211012100200