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12022354032030 = 23251912347569419
BaseRepresentation
bin1010111011110010110000…
…1001000011010110011110
31120120022210112010120220200
42232330230021003112132
53033433240113011110
641322554310324330
72350405066110366
oct256745411032636
946508715116820
1012022354032030
113915719479a41
12142201a0596a6
1369291a9aa084
142d7c567999a6
1515cae06826c0
hexaef2c24359e

12022354032030 has 96 divisors (see below), whose sum is σ = 32906007388800. Its totient is φ = 3036974959296.

The previous prime is 12022354032001. The next prime is 12022354032077. The reversal of 12022354032030 is 3023045322021.

12022354032030 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 235 + 403 + 20 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12022354031985 and 12022354032003.

It is a congruent number.

It is an unprimeable number.

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, 20828661 + ... + 21398079.

It is an arithmetic number, because the mean of its divisors is an integer number (342770910300).

Almost surely, 212022354032030 is an apocalyptic number.

12022354032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12022354032030 is an abundant number, since it is smaller than the sum of its proper divisors (20883653356770).

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

12022354032030 is a wasteful number, since it uses less digits than its factorization.

12022354032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581798 (or 581795 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12022354032030 its reverse (3023045322021), we get a palindrome (15045399354051).

The spelling of 12022354032030 in words is "twelve trillion, twenty-two billion, three hundred fifty-four million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 12347 24694 37041 61735 74082 111123 123470 185205 222246 234593 370410 469186 555615 569419 703779 1111230 1138838 1172965 1407558 1708257 2111337 2345930 2847095 3416514 3518895 4222674 5124771 5694190 7037790 8541285 10249542 10556685 10818961 17082570 21113370 21637922 25623855 32456883 51247710 54094805 64913766 97370649 108189610 162284415 194741298 324568830 486853245 973706490 7030616393 14061232786 21091849179 35153081965 42183698358 63275547537 70306163930 105459245895 126551095074 133581711467 210918491790 267163422934 316377737685 400745134401 632755475370 667908557335 801490268802 1202235403203 1335817114670 2003725672005 2404470806406 4007451344010 6011177016015 12022354032030