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2211210200200 = 235233745617193
BaseRepresentation
bin100000001011010110011…
…001100000010010001000
321211101112001002201011111
4200023112121200102020
5242212024302401300
64411452124340104
7315516564404341
oct40132631402210
97741461081144
102211210200200
1178285056a351
122b86699a4634
131306931c6bb1
147904771b0c8
153c7ba6b29ba
hex202d6660488

2211210200200 has 96 divisors (see below), whose sum is σ = 5158166630760. Its totient is φ = 881543577600.

The previous prime is 2211210200153. The next prime is 2211210200209. The reversal of 2211210200200 is 20020121122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 105675706084 + 2105534494116 = 325078^2 + 1451046^2 .

It is not an unprimeable number, because it can be changed into a prime (2211210200209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307407804 + ... + 307414996.

Almost surely, 22211210200200 is an apocalyptic number.

2211210200200 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 2211210200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579083315380).

2211210200200 is an abundant number, since it is smaller than the sum of its proper divisors (2946956430560).

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

2211210200200 is a wasteful number, since it uses less digits than its factorization.

2211210200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107 (or 12098 counting only the distinct ones).

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

Adding to 2211210200200 its reverse (20020121122), we get a palindrome (2231230321322).

The spelling of 2211210200200 in words is "two trillion, two hundred eleven billion, two hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 337 674 1348 1685 2696 3370 4561 6740 7193 8425 9122 13480 14386 16850 18244 22805 28772 33700 35965 36488 45610 57544 67400 71930 91220 114025 143860 179825 182440 228050 287720 359650 456100 719300 912200 1438600 1537057 2424041 3074114 4848082 6148228 7685285 9696164 12120205 12296456 15370570 19392328 24240410 30741140 32807273 38426425 48480820 60601025 61482280 65614546 76852850 96961640 121202050 131229092 153705700 164036365 242404100 262458184 307411400 328072730 484808200 656145460 820181825 1312290920 1640363650 3280727300 6561454600 11056051001 22112102002 44224204004 55280255005 88448408008 110560510010 221121020020 276401275025 442242040040 552802550050 1105605100100 2211210200200