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232132331212020 = 2232519727983233939
BaseRepresentation
bin110100110001111110000101…
…001001001000110011110100
31010102220122010021200202100100
4310301332011021020303310
5220411224003242241040
62141412042030514100
766616002365165001
oct6461760511106364
91112818107622310
10232132331212020
1167a67850323418
1222050974065930
139c6aca5ab99c5
14414739c7a08a8
151bc8464693b30
hexd31f85248cf4

232132331212020 has 144 divisors (see below), whose sum is σ = 707737341991680. Its totient is φ = 61585267715328.

The previous prime is 232132331212003. The next prime is 232132331212021. The reversal of 232132331212020 is 20212133231232.

232132331212020 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 323 + 312 + 1 + 2 + 0 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232132331212021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 992160211 + ... + 992394149.

It is an arithmetic number, because the mean of its divisors is an integer number (4914842652720).

Almost surely, 2232132331212020 is an apocalyptic number.

232132331212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232132331212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353868670995840).

232132331212020 is an abundant number, since it is smaller than the sum of its proper divisors (475605010779660).

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

232132331212020 is a wasteful number, since it uses less digits than its factorization.

232132331212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262134 (or 262129 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232132331212020 its reverse (20212133231232), we get a palindrome (252344464443252).

The spelling of 232132331212020 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 27983 35460 55966 83949 111932 139915 167898 233939 251847 279830 335796 419745 467878 503694 559660 701817 839490 935756 1007388 1169695 1259235 1403634 1678980 2105451 2339390 2518470 2807268 3509085 4210902 4678780 5036940 5512651 7018170 8421804 10527255 11025302 14036340 16537953 21054510 22050604 27563255 33075906 42109020 46085983 49613859 55126510 66151812 82689765 92171966 99227718 110253020 138257949 165379530 184343932 198455436 230429915 248069295 276515898 330759060 414773847 460859830 496138590 553031796 691289745 829547694 921719660 992277180 1382579490 1659095388 2073869235 2765158980 4147738470 6546315037 8295476940 13092630074 19638945111 26185260148 32731575185 39277890222 58916835333 65463150370 78555780444 98194725555 117833670666 130926300740 196389451110 235667341332 294584176665 392778902220 589168353330 1178336706660 1289624062289 2579248124578 3868872186867 5158496249156 6448120311445 7737744373734 11606616560601 12896240622890 15475488747468 19344360934335 23213233121202 25792481245780 38688721868670 46426466242404 58033082803005 77377443737340 116066165606010 232132331212020