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211100212012120 = 23525720535040079
BaseRepresentation
bin101111111111111010011001…
…001001100010010001011000
31000200102222112201212102002021
4233333322121021202101120
5210132131213233341440
62024550033144144224
762315326021533604
oct5777723111422130
91020388481772067
10211100212012120
1161299108345192
121b814775a68074
1390a38840c4312
143a1b43a448504
1519613033b184a
hexbffe99262458

211100212012120 has 32 divisors (see below), whose sum is σ = 476823630657600. Its totient is φ = 84111524159488.

The previous prime is 211100212012117. The next prime is 211100212012141. The reversal of 211100212012120 is 21210212001112.

It is a junction number, because it is equal to n+sod(n) for n = 211100212012094 and 211100212012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10267509760 + ... + 10267530319.

It is an arithmetic number, because the mean of its divisors is an integer number (14900738458050).

Almost surely, 2211100212012120 is an apocalyptic number.

211100212012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100212012120 is an abundant number, since it is smaller than the sum of its proper divisors (265723418645480).

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

211100212012120 is a wasteful number, since it uses less digits than its factorization.

211100212012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20535040347 (or 20535040343 counting only the distinct ones).

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

Adding to 211100212012120 its reverse (21210212001112), we get a palindrome (232310424013232).

The spelling of 211100212012120 in words is "two hundred eleven trillion, one hundred billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 20535040079 41070080158 82140160316 102675200395 164280320632 205350400790 410700801580 821401603160 5277505300303 10555010600606 21110021201212 26387526501515 42220042402424 52775053003030 105550106006060 211100212012120