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200011100212 = 2272111710135387
BaseRepresentation
bin1011101001000110010…
…1110011000000110100
3201010021010011122010101
42322101211303000310
511234110320201322
6231514524003444
720310314205100
oct2722145630064
9633233148111
10200011100212
1177908062a30
123291b390584
1315b26707751
149975770900
155309418327
hex2e91973034

200011100212 has 144 divisors (see below), whose sum is σ = 470860423488. Its totient is φ = 73256494080.

The previous prime is 200011100203. The next prime is 200011100221. The reversal of 200011100212 is 212001110002.

It is an interprime number because it is at equal distance from previous prime (200011100203) and next prime (200011100221).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37125783 + ... + 37131169.

It is an arithmetic number, because the mean of its divisors is an integer number (3269864052).

Almost surely, 2200011100212 is an apocalyptic number.

200011100212 is a gapful number since it is divisible by the number (22) 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 200011100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235430211744).

200011100212 is an abundant number, since it is smaller than the sum of its proper divisors (270849323276).

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

200011100212 is a wasteful number, since it uses less digits than its factorization.

200011100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6437 counting only the distinct ones).

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

Adding to 200011100212 its reverse (212001110002), we get a palindrome (412012210214).

The spelling of 200011100212 in words is "two hundred billion, eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 374 476 539 748 833 1013 1078 1309 1666 2026 2156 2618 3332 4052 5236 5387 7091 9163 10774 11143 14182 17221 18326 21548 22286 28364 34442 36652 37709 44572 49637 59257 68884 75418 78001 91579 99274 118514 120547 150836 156002 183158 189431 198548 237028 241094 263963 312004 366316 378862 414799 482188 527926 546007 641053 757724 829598 843829 1007369 1055852 1092014 1282106 1326017 1659196 1687658 2014738 2184028 2564212 2652034 2903593 3375316 4029476 4487371 5304068 5457031 5807186 7051583 8974742 9282119 10914062 11614372 14103166 17949484 18564238 21828124 28206332 37128476 38199217 49361081 60027341 76398434 92769527 98722162 120054682 152796868 185539054 197444324 240109364 267394519 371078108 420191387 534789038 649386689 840382774 1020464797 1069578076 1298773378 1680765548 2040929594 2597546756 2941339709 4081859188 4545706823 5882679418 7143253579 9091413646 11765358836 14286507158 18182827292 28573014316 50002775053 100005550106 200011100212