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200000120112 = 24331343828199
BaseRepresentation
bin1011101001000011101…
…1111010010100110000
3201010020100111210021000
42322100323322110300
511234100012320422
6231513452402000
720310121654122
oct2722073722460
9633210453230
10200000120112
1177901943471
1232917776300
1315b24361a50
149974113212
155308499cac
hex2e90efa530

200000120112 has 160 divisors (see below), whose sum is σ = 632612288000. Its totient is φ = 60107298048.

The previous prime is 200000120093. The next prime is 200000120113. The reversal of 200000120112 is 211021000002.

200000120112 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 200000120094 and 200000120103.

It is not an unprimeable number, because it can be changed into a prime (200000120113) by changing a digit.

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, 172612 + ... + 655587.

It is an arithmetic number, because the mean of its divisors is an integer number (3953826800).

Almost surely, 2200000120112 is an apocalyptic number.

It is an amenable number.

200000120112 is an abundant number, since it is smaller than the sum of its proper divisors (432612167888).

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

200000120112 is a wasteful number, since it uses less digits than its factorization.

200000120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828272 (or 828260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200000120112 its reverse (211021000002), we get a palindrome (411021120114).

The spelling of 200000120112 in words is "two hundred billion, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1872 2064 2236 2322 2808 3096 3354 4472 4644 5031 5616 6192 6708 8944 9288 10062 13416 15093 18576 20124 26832 30186 40248 60372 80496 120744 241488 828199 1656398 2484597 3312796 4969194 6625592 7453791 9938388 10766587 13251184 14907582 19876776 21533174 22361373 29815164 32299761 35612557 39753552 43066348 44722746 59630328 64599522 71225114 86132696 89445492 96899283 106837671 119260656 129199044 142450228 172265392 178890984 193798566 213675342 258398088 284900456 290697849 320513013 357781968 387597132 427350684 462963241 516796176 569800912 581395698 641026026 775194264 854701368 925926482 961539039 1162791396 1282052052 1388889723 1550388528 1709402736 1851852964 1923078078 2325582792 2564104104 2777779446 3703705928 3846156156 4166669169 4651165584 5128208208 5555558892 7407411856 7692312312 8333338338 11111117784 12500007507 15384624624 16666676676 22222235568 25000015014 33333353352 50000030028 66666706704 100000060056 200000120112