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211200203120010 = 235131937973520579
BaseRepresentation
bin110000000001010111100001…
…000101010101110110001010
31000200210112122021202222122120
4300001113201011111312022
5210140301003444320020
62025104011152432110
762325465630115566
oct6001274105256612
91020715567688576
10211200203120010
1161327559757535
121b830020848636
1390b012ab0c550
143a222042326a6
151963c06941740
hexc015e1155d8a

211200203120010 has 128 divisors (see below), whose sum is σ = 549388255207680. Its totient is φ = 51653469782016.

The previous prime is 211200203119987. The next prime is 211200203120059. The reversal of 211200203120010 is 10021302002112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58229901 + ... + 61750479.

It is an arithmetic number, because the mean of its divisors is an integer number (4292095743810).

Almost surely, 2211200203120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200203120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274694127603840).

211200203120010 is an abundant number, since it is smaller than the sum of its proper divisors (338188052087670).

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

211200203120010 is a wasteful number, since it uses less digits than its factorization.

211200203120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521592.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211200203120010 its reverse (10021302002112), we get a palindrome (221221505122122).

The spelling of 211200203120010 in words is "two hundred eleven trillion, two hundred billion, two hundred three million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 193 195 386 390 579 797 965 1158 1594 1930 2391 2509 2895 3985 4782 5018 5790 7527 7970 10361 11955 12545 15054 20722 23910 25090 31083 37635 51805 62166 75270 103610 153821 155415 307642 310830 461463 769105 922926 1538210 1999673 2307315 3520579 3999346 4614630 5999019 7041158 9998365 10561737 11998038 17602895 19996730 21123474 29995095 35205790 45767527 52808685 59990190 91535054 105617370 137302581 228837635 274605162 457675270 679471747 686512905 1358943494 1373025810 2038415241 2805901463 3397358735 4076830482 5611802926 6794717470 8417704389 8833132711 10192076205 14029507315 16835408778 17666265422 20384152410 26499398133 28059014630 36476719019 42088521945 44165663555 52998796266 72953438038 84177043890 88331327110 109430157057 132496990665 182383595095 218860314114 264993981330 364767190190 541538982359 547150785285 1083077964718 1094301570570 1624616947077 2707694911795 3249233894154 5415389823590 7040006770667 8123084735385 14080013541334 16246169470770 21120020312001 35200033853335 42240040624002 70400067706670 105600101560005 211200203120010