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211210200012200 = 23521677738180671
BaseRepresentation
bin110000000001100000110100…
…111100011101010110101000
31000200211111102222200201122212
4300001200310330131112220
5210140431442200342300
62025112343144504252
762326301436235064
oct6001406474352650
91020744388621585
10211210200012200
1161330819739604
121b831b5077b088
1390b1061c7c27c
143a228b1bc6aa4
1519640de3d8935
hexc01834f1d5a8

211210200012200 has 96 divisors (see below), whose sum is σ = 494643350799360. Its totient is φ = 83869537747200.

The previous prime is 211210200012187. The next prime is 211210200012283. The reversal of 211210200012200 is 2210002012112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21727865 + ... + 29908535.

It is an arithmetic number, because the mean of its divisors is an integer number (5152534904160).

Almost surely, 2211210200012200 is an apocalyptic number.

211210200012200 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 211210200012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247321675399680).

211210200012200 is an abundant number, since it is smaller than the sum of its proper divisors (283433150787160).

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

211210200012200 is a wasteful number, since it uses less digits than its factorization.

211210200012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181627 (or 8181618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211210200012200 its reverse (2210002012112), we get a palindrome (213420202024312).

The spelling of 211210200012200 in words is "two hundred eleven trillion, two hundred ten billion, two hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 773 835 1336 1546 1670 3092 3340 3865 4175 6184 6680 7730 8350 15460 16700 19325 30920 33400 38650 77300 129091 154600 258182 516364 645455 1032728 1290910 2581820 3227275 5163640 6454550 8180671 12909100 16361342 25818200 32722684 40903355 65445368 81806710 163613420 204516775 327226840 409033550 818067100 1366172057 1636134200 2732344114 5464688228 6323658683 6830860285 10929376456 12647317366 13661720570 25294634732 27323441140 31618293415 34154301425 50589269464 54646882280 63236586830 68308602850 126473173660 136617205700 158091467075 252946347320 273234411400 316182934150 632365868300 1056051000061 1264731736600 2112102000122 4224204000244 5280255000305 8448408000488 10560510000610 21121020001220 26401275001525 42242040002440 52802550003050 105605100006100 211210200012200