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220123320120 = 233351118528899
BaseRepresentation
bin1100110100000001011…
…1110100111100111000
3210001011202212021011000
43031000113310330320
512101303032220440
6245042342405000
721621601230534
oct3150027647470
9701152767130
10220123320120
118539896a480
12367b2a30760
13179b0413ca2
14a922908bc4
155ad4e4e730
hex33405f4f38

220123320120 has 128 divisors (see below), whose sum is σ = 800448480000. Its totient is φ = 53363226240.

The previous prime is 220123320107. The next prime is 220123320173. The reversal of 220123320120 is 21023321022.

220123320120 is a `hidden beast` number, since 2 + 201 + 23 + 320 + 120 = 666.

220123320120 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 220123320093 and 220123320102.

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 31 ways as a sum of consecutive naturals, for example, 9252570 + ... + 9276329.

It is an arithmetic number, because the mean of its divisors is an integer number (6253503750).

Almost surely, 2220123320120 is an apocalyptic number.

220123320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220123320120 is an abundant number, since it is smaller than the sum of its proper divisors (580325159880).

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

220123320120 is a wasteful number, since it uses less digits than its factorization.

220123320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528930 (or 18528920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220123320120 its reverse (21023321022), we get a palindrome (241146641142).

The spelling of 220123320120 in words is "two hundred twenty billion, one hundred twenty-three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 18528899 37057798 55586697 74115596 92644495 111173394 148231192 166760091 185288990 203817889 222346788 277933485 333520182 370577980 407635778 444693576 500280273 555866970 611453667 667040364 741155960 815271556 833800455 1000560546 1019089445 1111733940 1222907334 1334080728 1630543112 1667600910 1834361001 2001121092 2038178890 2223467880 2445814668 2501401365 3057268335 3335201820 3668722002 4002242184 4076357780 4891629336 5002802730 5503083003 6114536670 6670403640 7337444004 8152715560 9171805005 10005605460 11006166006 12229073340 14674888008 18343610010 20011210920 22012332012 24458146680 27515415015 36687220020 44024664024 55030830030 73374440040 110061660060 220123320120