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12101444143340 = 2255379718897583
BaseRepresentation
bin1011000000011001011001…
…0001111000100011101100
31120211212221110010112021112
42300012112101320203230
53041232224200041330
641423154322051152
72356205032006316
oct260062621704354
946755843115245
1012101444143340
11394621480a1a2
1214354111a9ab8
1369a2134654c6
142db9da7627b6
1515ebbdd1e795
hexb01964788ec

12101444143340 has 96 divisors (see below), whose sum is σ = 25942156208640. Its totient is φ = 4740150910976.

The previous prime is 12101444143273. The next prime is 12101444143351. The reversal of 12101444143340 is 4334144410121.

It is a junction number, because it is equal to n+sod(n) for n = 12101444143297 and 12101444143306.

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, 1595861189 + ... + 1595868771.

It is an arithmetic number, because the mean of its divisors is an integer number (270230793840).

Almost surely, 212101444143340 is an apocalyptic number.

12101444143340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101444143340 is an abundant number, since it is smaller than the sum of its proper divisors (13840712065300).

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

12101444143340 is a wasteful number, since it uses less digits than its factorization.

12101444143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12101444143340 its reverse (4334144410121), we get a palindrome (16435588553461).

The spelling of 12101444143340 in words is "twelve trillion, one hundred one billion, four hundred forty-four million, one hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 797 1060 1594 1889 3188 3778 3985 7556 7583 7970 9445 15166 15940 18890 30332 37780 37915 42241 75830 84482 100117 151660 168964 200234 211205 400468 401899 422410 500585 803798 844820 1001170 1505533 1607596 2002340 2009495 3011066 4018990 6022132 6043651 7527665 8037980 12087302 14324287 15055330 24174604 28648574 30110660 30218255 57297148 60436510 71621435 79793249 120873020 143242870 159586498 286485740 319172996 320313503 398966245 640627006 759187211 797932490 1281254012 1518374422 1595864980 1601567515 3036748844 3203135030 3795936055 6406270060 7591872110 11416456739 15183744220 22832913478 45665826956 57082283695 114164567390 228329134780 605072207167 1210144414334 2420288828668 3025361035835 6050722071670 12101444143340