Search a number
-
+
220312112331312 = 243214205710769939
BaseRepresentation
bin110010000101111101101001…
…001100011111101000110000
31001220001122001220111202220200
4302011331221030133220300
5212334043201224100222
62100321553122035200
764256011344360261
oct6205755114375060
91056048056452820
10220312112331312
116421a929982451
1220861b687a8b00
1395c145c8a6561
143c5923d8c2968
151a70c54b42eac
hexc85f6931fa30

220312112331312 has 60 divisors (see below), whose sum is σ = 616572323017560. Its totient is φ = 73436847001344.

The previous prime is 220312112331307. The next prime is 220312112331349. The reversal of 220312112331312 is 213133211213022.

220312112331312 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 1 + 2 + 1 + 12 + 331 + 312 = 666.

220312112331312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15071239 + ... + 25841177.

It is an arithmetic number, because the mean of its divisors is an integer number (10276205383626).

Almost surely, 2220312112331312 is an apocalyptic number.

It is an amenable number.

220312112331312 is an abundant number, since it is smaller than the sum of its proper divisors (396260210686248).

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

220312112331312 is a wasteful number, since it uses less digits than its factorization.

220312112331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10912010 (or 10912001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 220312112331312 its reverse (213133211213022), we get a palindrome (433445323544334).

The spelling of 220312112331312 in words is "two hundred twenty trillion, three hundred twelve billion, one hundred twelve million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 142057 284114 426171 568228 852342 1136456 1278513 1704684 2272912 2557026 3409368 5114052 6818736 10228104 10769939 20456208 21539878 32309817 43079756 64619634 86159512 96929451 129239268 172319024 193858902 258478536 387717804 516957072 775435608 1550871216 1529945224523 3059890449046 4589835673569 6119780898092 9179671347138 12239561796184 13769507020707 18359342694276 24479123592368 27539014041414 36718685388552 55078028082828 73437370777104 110156056165656 220312112331312