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12103332202000 = 245313617631357
BaseRepresentation
bin1011000000100000011011…
…0100010000011000010000
31120212001211000211211212001
42300020012310100120100
53041300111020431000
641424105525443344
72356302566152444
oct260100664203020
946761730754761
1012103332202000
113946aa3549656
121435859570554
1369a454677990
142dbb393dc824
1515ec7e96e46a
hexb0206d10610

12103332202000 has 160 divisors (see below), whose sum is σ = 32033754645984. Its totient is φ = 4395661056000.

The previous prime is 12103332201991. The next prime is 12103332202007. The reversal of 12103332202000 is 20223330121.

It can be written as a sum of positive squares in 16 ways, for example, as 11129936856336 + 973395345664 = 3336156^2 + 986608^2 .

It is not an unprimeable number, because it can be changed into a prime (12103332202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229679 + ... + 5401678.

Almost surely, 212103332202000 is an apocalyptic number.

12103332202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103332202000 is an abundant number, since it is smaller than the sum of its proper divisors (19930422443984).

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

12103332202000 is a wasteful number, since it uses less digits than its factorization.

12103332202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631454 (or 7631438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12103332202000 its reverse (20223330121), we get a palindrome (12123555532121).

The spelling of 12103332202000 in words is "twelve trillion, one hundred three billion, three hundred thirty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 61 65 80 100 104 122 125 130 200 208 244 250 260 305 325 400 488 500 520 610 650 793 976 1000 1040 1220 1300 1525 1586 1625 2000 2440 2600 3050 3172 3250 3965 4880 5200 6100 6344 6500 7625 7930 12200 12688 13000 15250 15860 19825 24400 26000 30500 31720 39650 61000 63440 79300 99125 122000 158600 198250 317200 396500 793000 1586000 7631357 15262714 30525428 38156785 61050856 76313570 99207641 122101712 152627140 190783925 198415282 305254280 381567850 396830564 465512777 496038205 610508560 763135700 793661128 931025554 953919625 992076410 1526271400 1587322256 1862051108 1907839250 1984152820 2327563885 2480191025 3052542800 3724102216 3815678500 3968305640 4655127770 4960382050 6051666101 7448204432 7631357000 7936611280 9310255540 9920764100 11637819425 12103332202 12400955125 15262714000 18620511080 19841528200 23275638850 24206664404 24801910250 30258330505 37241022160 39683056400 46551277700 48413328808 49603820500 58189097125 60516661010 93102555400 96826657616 99207641000 116378194250 121033322020 151291652525 186205110800 198415282000 232756388500 242066644040 302583305050 465512777000 484133288080 605166610100 756458262625 931025554000 1210333220200 1512916525250 2420666440400 3025833050500 6051666101000 12103332202000