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220002112120 = 2357785721829
BaseRepresentation
bin1100110011100100100…
…1011101001001111000
3210000212022210021000211
43030321021131021320
512101031020041440
6245022332440504
721615600045460
oct3147111351170
9700768707024
10220002112120
118533650307a
123677a319134
131799128628b
14a910796ba0
155ac94aaeea
hex333925d278

220002112120 has 32 divisors (see below), whose sum is σ = 565719717600. Its totient is φ = 75429295488.

The previous prime is 220002112103. The next prime is 220002112133. The reversal of 220002112120 is 21211200022.

It is a happy number.

220002112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200021121202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220002112120.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 392860635 + ... + 392861194.

It is an arithmetic number, because the mean of its divisors is an integer number (17678741175).

Almost surely, 2220002112120 is an apocalyptic number.

220002112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002112120 is an abundant number, since it is smaller than the sum of its proper divisors (345717605480).

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

220002112120 is a wasteful number, since it uses less digits than its factorization.

220002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785721847 (or 785721843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220002112120 its reverse (21211200022), we get a palindrome (241213312142).

The spelling of 220002112120 in words is "two hundred twenty billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 785721829 1571443658 3142887316 3928609145 5500052803 6285774632 7857218290 11000105606 15714436580 22000211212 27500264015 31428873160 44000422424 55000528030 110001056060 220002112120