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211000112200 = 23524127194951
BaseRepresentation
bin1100010010000010010…
…1100011010001001000
3202011121221221021122101
43010200211203101020
511424112012042300
6240533200403144
721146531234653
oct3044045432110
9664557837571
10211000112200
1181537076319
1234a876164b4
1316b882858c7
14a2d8dc089a
15574e036b6a
hex3120963448

211000112200 has 96 divisors (see below), whose sum is σ = 504400216320. Its totient is φ = 82036800000.

The previous prime is 211000112119. The next prime is 211000112201. The reversal of 211000112200 is 2211000112.

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 (211000112201) 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, 2174725 + ... + 2269675.

It is an arithmetic number, because the mean of its divisors is an integer number (5254168920).

Almost surely, 2211000112200 is an apocalyptic number.

211000112200 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 211000112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252200108160).

211000112200 is an abundant number, since it is smaller than the sum of its proper divisors (293400104120).

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

211000112200 is a wasteful number, since it uses less digits than its factorization.

211000112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95279 (or 95270 counting only the distinct ones).

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

Adding to 211000112200 its reverse (2211000112), we get a palindrome (213211112312).

The spelling of 211000112200 in words is "two hundred eleven billion, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 271 328 410 542 820 1025 1084 1355 1640 2050 2168 2710 4100 5420 6775 8200 10840 11111 13550 22222 27100 44444 54200 55555 88888 94951 111110 189902 222220 277775 379804 444440 474755 555550 759608 949510 1111100 1899020 2222200 2373775 3798040 3892991 4747550 7785982 9495100 15571964 18990200 19464955 25731721 31143928 38929910 51463442 77859820 97324775 102926884 128658605 155719640 194649550 205853768 257317210 389299100 514634420 643293025 778598200 1029268840 1055000561 1286586050 2110001122 2573172100 4220002244 5146344200 5275002805 8440004488 10550005610 21100011220 26375014025 42200022440 52750028050 105500056100 211000112200