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212220100112220 = 22335393000185393
BaseRepresentation
bin110000010000001101010111…
…101011100110111101011100
31000211102001011122220100021000
4300100031113223212331130
5210304003231112042340
62031204322412510300
762462252626401354
oct6020152753467534
91024361148810230
10212220100112220
1161690047a46142
121b97581617b390
139155367328155
143a59716dc9b64
1519804e9d77d30
hexc10357ae6f5c

212220100112220 has 48 divisors (see below), whose sum is σ = 660240311461920. Its totient is φ = 56592026696448.

The previous prime is 212220100112219. The next prime is 212220100112311. The reversal of 212220100112220 is 22211001022212.

It is a happy number.

212220100112220 is a `hidden beast` number, since 2 + 12 + 220 + 100 + 112 + 220 = 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 = 212220100112193 and 212220100112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196500092157 + ... + 196500093236.

It is an arithmetic number, because the mean of its divisors is an integer number (13755006488790).

Almost surely, 2212220100112220 is an apocalyptic number.

212220100112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220100112220 is an abundant number, since it is smaller than the sum of its proper divisors (448020211349700).

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

212220100112220 is a wasteful number, since it uses less digits than its factorization.

212220100112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393000185411 (or 393000185403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220100112220 its reverse (22211001022212), we get a palindrome (234431101134432).

The spelling of 212220100112220 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 393000185393 786000370786 1179000556179 1572000741572 1965000926965 2358001112358 3537001668537 3930001853930 4716002224716 5895002780895 7074003337074 7860003707860 10611005005611 11790005561790 14148006674148 17685008342685 21222010011222 23580011123580 35370016685370 42444020022444 53055025028055 70740033370740 106110050056110 212220100112220