Search a number
-
+
112022000000220 = 223523131716163189
BaseRepresentation
bin11001011110001000100111…
…100001000101110011011100
3112200122012100210021102212010
4121132020213201011303130
5104140332024000001340
61034130110225111220
732411215406114142
oct3136104741056334
9480565323242763
10112022000000220
113276a299657842
1210692745188510
134a6782468792b
141d93c72571592
15ce3e38d1db80
hex65e227845cdc

112022000000220 has 96 divisors (see below), whose sum is σ = 327323963957760. Its totient is φ = 28571553457920.

The previous prime is 112022000000213. The next prime is 112022000000249. The reversal of 112022000000220 is 22000000220211.

112022000000220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112022000000196 and 112022000000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15094386 + ... + 21257574.

It is an arithmetic number, because the mean of its divisors is an integer number (3409624624560).

Almost surely, 2112022000000220 is an apocalyptic number.

112022000000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022000000220 is an abundant number, since it is smaller than the sum of its proper divisors (215301963957540).

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

112022000000220 is a wasteful number, since it uses less digits than its factorization.

112022000000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176395 (or 6176393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 112022000000220 its reverse (22000000220211), we get a palindrome (134022000220431).

The spelling of 112022000000220 in words is "one hundred twelve trillion, twenty-two billion, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 13171 26342 39513 52684 65855 79026 131710 158052 197565 263420 302933 395130 605866 790260 908799 1211732 1514665 1817598 3029330 3635196 4543995 6058660 6163189 9087990 12326378 18175980 18489567 24652756 30815945 36979134 61631890 73958268 92447835 123263780 141753347 184895670 283506694 369791340 425260041 567013388 708766735 850520082 1417533470 1701040164 2126300205 2835066940 4252600410 8505200820 81175362319 162350724638 243526086957 324701449276 405876811595 487052173914 811753623190 974104347828 1217630434785 1623507246380 1867033333337 2435260869570 3734066666674 4870521739140 5601100000011 7468133333348 9335166666685 11202200000022 18670333333370 22404400000044 28005500000055 37340666666740 56011000000110 112022000000220