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20120202131100 = 223521926313421521
BaseRepresentation
bin1001001001100100110011…
…00000000011011010011100
32122020110202110222102220020
410210302121200003122130
510114122133221143400
6110443032050552140
74144431236205531
oct444623140033234
978213673872806
1020120202131100
116457a25630255
12230b51ab98650
13b2c4333203b6
144d7b7437cd88
1524d58c9672a0
hex124c9980369c

20120202131100 has 144 divisors (see below), whose sum is σ = 61511372186880. Its totient is φ = 5063671065600.

The previous prime is 20120202131087. The next prime is 20120202131149. The reversal of 20120202131100 is 113120202102.

It is a super-3 number, since 3×201202021311003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20120202131100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5211661 + ... + 8209860.

Almost surely, 220120202131100 is an apocalyptic number.

20120202131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120202131100 is an abundant number, since it is smaller than the sum of its proper divisors (41391170055780).

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

20120202131100 is a wasteful number, since it uses less digits than its factorization.

20120202131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421820 (or 13421813 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20120202131100 its reverse (113120202102), we get a palindrome (20233322333202).

The spelling of 20120202131100 in words is "twenty trillion, one hundred twenty billion, two hundred two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 263 285 300 380 475 526 570 789 950 1052 1140 1315 1425 1578 1900 2630 2850 3156 3945 4997 5260 5700 6575 7890 9994 13150 14991 15780 19725 19988 24985 26300 29982 39450 49970 59964 74955 78900 99940 124925 149910 249850 299820 374775 499700 749550 1499100 13421521 26843042 40264563 53686084 67107605 80529126 134215210 161058252 201322815 255008899 268430420 335538025 402645630 510017798 671076050 765026697 805291260 1006614075 1020035596 1275044495 1342152100 1530053394 2013228150 2550088990 3060106788 3529860023 3825133485 4026456300 5100177980 6375222475 7059720046 7650266970 10589580069 12750444950 14119440092 15300533940 17649300115 19125667425 21179160138 25500889900 35298600230 38251334850 42358320276 52947900345 67067340437 70597200460 76502669700 88246500575 105895800690 134134680874 176493001150 201202021311 211791601380 264739501725 268269361748 335336702185 352986002300 402404042622 529479003450 670673404370 804808085244 1006010106555 1058958006900 1341346808740 1676683510925 2012020213110 3353367021850 4024040426220 5030050532775 6706734043700 10060101065550 20120202131100