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211012211002120 = 23511479573206823
BaseRepresentation
bin101111111110101000011011…
…111000010100101100001000
31000200010120101210102220201121
4233332220123320110230020
5210124211002004031440
62024441401013125024
762306062204354333
oct5776503370245410
91020116353386647
10211012211002120
116126485a040950
121b7bb6b6629774
13909849b484778
143a1708cc2161a
15195dda279834a
hexbfea1be14b08

211012211002120 has 32 divisors (see below), whose sum is σ = 517939063369920. Its totient is φ = 76731713091520.

The previous prime is 211012211002069. The next prime is 211012211002127. The reversal of 211012211002120 is 21200112210112.

It is a junction number, because it is equal to n+sod(n) for n = 211012211002094 and 211012211002103.

It is not an unprimeable number, because it can be changed into a prime (211012211002127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239786602972 + ... + 239786603851.

It is an arithmetic number, because the mean of its divisors is an integer number (16185595730310).

Almost surely, 2211012211002120 is an apocalyptic number.

211012211002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012211002120 is an abundant number, since it is smaller than the sum of its proper divisors (306926852367800).

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

211012211002120 is a wasteful number, since it uses less digits than its factorization.

211012211002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479573206845 (or 479573206841 counting only the distinct ones).

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

Adding to 211012211002120 its reverse (21200112210112), we get a palindrome (232212323212232).

The spelling of 211012211002120 in words is "two hundred eleven trillion, twelve billion, two hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479573206823 959146413646 1918292827292 2397866034115 3836585654584 4795732068230 5275305275053 9591464136460 10550610550106 19182928272920 21101221100212 26376526375265 42202442200424 52753052750530 105506105501060 211012211002120