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211121011220200 = 23528813112138501
BaseRepresentation
bin110000000000001101110000…
…111000001101111011101000
31000200111222020021020122201021
4300000031300320031323220
5210133001312333021300
62025003353103302224
762316663320065324
oct6000156070157350
91020458207218637
10211121011220200
11612a6a10a14054
121b8187bb5aa974
1390a581a235533
143a1c450930984
151961b1e399d1a
hexc00370e0dee8

211121011220200 has 96 divisors (see below), whose sum is σ = 491442063741720. Its totient is φ = 84347648000000.

The previous prime is 211121011220183. The next prime is 211121011220233. The reversal of 211121011220200 is 2022110121112.

It can be written as a sum of positive squares in 12 ways, for example, as 10957993401796 + 200163017818404 = 3310286^2 + 14147898^2 .

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, 5483500950 + ... + 5483539450.

Almost surely, 2211121011220200 is an apocalyptic number.

211121011220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121011220200 is an abundant number, since it is smaller than the sum of its proper divisors (280321052521520).

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

211121011220200 is a wasteful number, since it uses less digits than its factorization.

211121011220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70519 (or 70510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121011220200 its reverse (2022110121112), we get a palindrome (213143121341312).

The spelling of 211121011220200 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 881 1762 3524 4405 7048 8810 17620 22025 31121 35240 38501 44050 62242 77002 88100 124484 154004 155605 176200 192505 248968 308008 311210 385010 622420 770020 778025 962525 1244840 1540040 1556050 1925050 3112100 3850100 6224200 7700200 27417601 33919381 54835202 67838762 109670404 135677524 137088005 169596905 219340808 271355048 274176010 339193810 548352020 678387620 685440025 847984525 1096704040 1198189621 1356775240 1370880050 1695969050 2396379242 2741760100 3391938100 4792758484 5483520200 5990948105 6783876200 9585516968 11981896210 23963792420 29954740525 47927584840 59909481050 119818962100 239637924200 1055605056101 2111210112202 4222420224404 5278025280505 8444840448808 10556050561010 21112101122020 26390126402525 42224202244040 52780252805050 105560505610100 211121011220200