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211121201122020 = 22335755852169609
BaseRepresentation
bin110000000000001101111100…
…001100101000101011100100
31000200111222201111120200001000
4300000031330030220223210
5210133002204441401040
62025003424005433300
762320001114164050
oct6000157414505344
91020458644520030
10211121201122020
11612a6aa912a102
121b81885310b830
1390a584a695387
143a1c46bc44c60
151961b30dac130
hexc0037c328ae4

211121201122020 has 96 divisors (see below), whose sum is σ = 750653159558400. Its totient is φ = 48256274541312.

The previous prime is 211121201121989. The next prime is 211121201122037. The reversal of 211121201122020 is 20221102121112.

211121201122020 is a `hidden beast` number, since 211 + 1 + 212 + 0 + 1 + 1 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211121201121984 and 211121201122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27926081025 + ... + 27926088584.

It is an arithmetic number, because the mean of its divisors is an integer number (7819303745400).

Almost surely, 2211121201122020 is an apocalyptic number.

211121201122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121201122020 is an abundant number, since it is smaller than the sum of its proper divisors (539531958436380).

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

211121201122020 is a wasteful number, since it uses less digits than its factorization.

211121201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55852169634 (or 55852169626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121201122020 its reverse (20221102121112), we get a palindrome (231342303243132).

The spelling of 211121201122020 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 55852169609 111704339218 167556508827 223408678436 279260848045 335113017654 390965187263 502669526481 558521696090 670226035308 781930374526 837782544135 1005339052962 1117043392180 1172895561789 1508008579443 1563860749052 1675565088270 1954825936315 2010678105924 2345791123578 2513347632405 3016017158886 3351130176540 3518686685367 3909651872630 4691582247156 5026695264810 5864477808945 6032034317772 7037373370734 7540042897215 7819303745260 10053390529620 10556060056101 11728955617890 14074746741468 15080085794430 17593433426835 21112120112202 23457911235780 30160171588860 35186866853670 42224240224404 52780300280505 70373733707340 105560600561010 211121201122020