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211120102122200 = 235217421691472507
BaseRepresentation
bin110000000000001100111010…
…101100010010001011011000
31000200111212212220121200200222
4300000030322230102023120
5210132442432120402300
62025003122550215212
762316631640634665
oct6000147254221330
91020455786550628
10211120102122200
11612a6594838297
121b8185a7054508
1390a5703aa4a1b
143a1c3a5cc6a6c
151961ab9672785
hexc0033ab122d8

211120102122200 has 96 divisors (see below), whose sum is σ = 519740693953200. Its totient is φ = 79478570250240.

The previous prime is 211120102122187. The next prime is 211120102122221. The reversal of 211120102122200 is 2221201021112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 142638347 + ... + 144110853.

Almost surely, 2211120102122200 is an apocalyptic number.

211120102122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120102122200 is an abundant number, since it is smaller than the sum of its proper divisors (308620591831000).

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

211120102122200 is a wasteful number, since it uses less digits than its factorization.

211120102122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514709 (or 1514700 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211120102122200 its reverse (2221201021112), we get a palindrome (213341303143312).

The spelling of 211120102122200 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 42169 84338 168676 210845 337352 421690 716873 843380 1054225 1433746 1472507 1686760 2108450 2867492 2945014 3584365 4216900 5734984 5890028 7168730 7362535 8433800 11780056 14337460 14725070 17921825 25032619 28674920 29450140 35843650 36812675 50065238 58900280 71687300 73625350 100130476 125163095 143374600 147250700 200260952 250326190 294501400 500652380 625815475 1001304760 1251630950 2503261900 5006523800 62094147683 124188295366 248376590732 310470738415 496753181464 620941476830 1055600510611 1241882953660 1552353692075 2111201021222 2483765907320 3104707384150 4222402042444 5278002553055 6209414768300 8444804084888 10556005106110 12418829536600 21112010212220 26390012765275 42224020424440 52780025530550 105560051061100 211120102122200