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212211022002100 = 225211367752466443
BaseRepresentation
bin110000010000000100111010…
…100101010111011110110100
31000211101011201222211120022021
4300100010322211113132310
5210303331133113031400
62031200221521242524
762461511644625122
oct6020047245273664
91024334658746267
10212211022002100
11616872096546a0
121b973b01a93444
13915454b629a64
143a590d5480912
151980167dbc71a
hexc1013a9577b4

212211022002100 has 72 divisors (see below), whose sum is σ = 502497997007328. Its totient is φ = 77146656316800.

The previous prime is 212211022002079. The next prime is 212211022002151. The reversal of 212211022002100 is 1200220112212.

It is a happy number.

It is a congruent number.

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, 22188522 + ... + 30277921.

It is an arithmetic number, because the mean of its divisors is an integer number (6979138847324).

Almost surely, 2212211022002100 is an apocalyptic number.

212211022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211022002100 is an abundant number, since it is smaller than the sum of its proper divisors (290286975005228).

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

212211022002100 is a wasteful number, since it uses less digits than its factorization.

212211022002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52470145 (or 52470138 counting only the distinct ones).

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

Adding to 212211022002100 its reverse (1200220112212), we get a palindrome (213411242114312).

The spelling of 212211022002100 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3677 7354 14708 18385 36770 40447 73540 80894 91925 161788 183850 202235 367700 404470 808940 1011175 2022350 4044700 52466443 104932886 209865772 262332215 524664430 577130873 1049328860 1154261746 1311661075 2308523492 2623322150 2885654365 5246644300 5771308730 11542617460 14428271825 28856543650 57713087300 192919110911 385838221822 771676443644 964595554555 1929191109110 2122110220021 3858382218220 4244220440042 4822977772775 8488440880084 9645955545550 10610551100105 19291911091100 21221102200210 42442204400420 53052755500525 106105511001050 212211022002100