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223221131112120 = 233515831798965323
BaseRepresentation
bin110010110000010010111000…
…001110011110111010111000
31002021100201202102120020112220
4302300102320032132322320
5213224223334031041440
62110430212202204040
765006123502130431
oct6260227016367270
91067321672506486
10223221131112120
1165141606171589
12210519011b3620
13977287c2214cb
143d19d6345c488
151ac1761cd88d0
hexcb04b839eeb8

223221131112120 has 128 divisors (see below), whose sum is σ = 670133936102400. Its totient is φ = 59483814372864.

The previous prime is 223221131112107. The next prime is 223221131112167. The reversal of 223221131112120 is 21211131122322.

223221131112120 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-3 number, since 3×2232211311121203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3417157779 + ... + 3417223101.

It is an arithmetic number, because the mean of its divisors is an integer number (5235421375800).

Almost surely, 2223221131112120 is an apocalyptic number.

223221131112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221131112120 is an abundant number, since it is smaller than the sum of its proper divisors (446912804990280).

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

223221131112120 is a wasteful number, since it uses less digits than its factorization.

223221131112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84909 (or 84905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 223221131112120 its reverse (21211131122322), we get a palindrome (244432262234442).

The spelling of 223221131112120 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1583 3166 4749 6332 7915 9498 12664 15830 17989 18996 23745 31660 35978 37992 47490 53967 63320 65323 71956 89945 94980 107934 130646 143912 179890 189960 195969 215868 261292 269835 326615 359780 391938 431736 522584 539670 653230 719560 783876 979845 1079340 1306460 1567752 1959690 2158680 2612920 3919380 7838760 28476587 56953174 85429761 103406309 113906348 142382935 170859522 206812618 227812696 284765870 310218927 341719044 413625236 427148805 517031545 569531740 620437854 683438088 827250472 854297610 1034063090 1139063480 1175095447 1240875708 1551094635 1708595220 2068126180 2350190894 2481751416 3102189270 3417190440 3525286341 4136252360 4700381788 5875477235 6204378540 7050572682 9400763576 11750954470 12408757080 14101145364 17626431705 23501908940 28202290728 35252863410 47003817880 70505726820 141011453640 1860176092601 3720352185202 5580528277803 7440704370404 9300880463005 11161056555606 14881408740808 18601760926010 22322113111212 27902641389015 37203521852020 44644226222424 55805282778030 74407043704040 111610565556060 223221131112120