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211120200022120 = 2351011151330713729
BaseRepresentation
bin110000000000001101000000…
…100001101111100001101000
31000200111220010201211112010221
4300000031000201233201220
5210132443132201201440
62025003140404415424
762316634240032334
oct6000150041574150
91020456121745127
10211120200022120
11612a6635024a14
121b8186139a7574
1390a571b16167c
143a1c3b4ccc7c4
151961ac305ed4a
hexc0034086f868

211120200022120 has 128 divisors (see below), whose sum is σ = 480320583782400. Its totient is φ = 83507973120000.

The previous prime is 211120200022099. The next prime is 211120200022159. The reversal of 211120200022120 is 21220002021112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211120200022094 and 211120200022103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15377675416 + ... + 15377689144.

It is an arithmetic number, because the mean of its divisors is an integer number (3752504560800).

Almost surely, 2211120200022120 is an apocalyptic number.

211120200022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200022120 is an abundant number, since it is smaller than the sum of its proper divisors (269200383760280).

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

211120200022120 is a wasteful number, since it uses less digits than its factorization.

211120200022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18299 (or 18295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211120200022120 its reverse (21220002021112), we get a palindrome (232340202043232).

The spelling of 211120200022120 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1151 2020 2302 3307 4040 4604 5755 6614 9208 11510 13228 13729 16535 23020 26456 27458 33070 46040 54916 66140 68645 109832 116251 132280 137290 232502 274580 334007 465004 549160 581255 668014 930008 1162510 1336028 1386629 1670035 2325020 2672056 2773258 3340070 3806357 4650040 5546516 6680140 6933145 7612714 11093032 13360280 13866290 15225428 15802079 19031785 27732580 30450856 31604158 38063570 45401803 55465160 63208316 76127140 79010395 90803606 126416632 152254280 158020790 181607212 227009015 316041580 363214424 384442057 454018030 632083160 768884114 908036060 1537768228 1596009979 1816072120 1922210285 3075536456 3192019958 3844420570 4585582103 6384039916 7688841140 7980049895 9171164206 12768079832 15377682280 15960099790 18342328412 22927910515 31920199580 36684656824 45855821030 52257475253 63840399160 91711642060 104514950506 183423284120 209029901012 261287376265 418059802024 522574752530 1045149505060 2090299010120 5278005000553 10556010001106 21112020002212 26390025002765 42224040004424 52780050005530 105560100011060 211120200022120