Search a number
-
+
12101300000100 = 22335229154550447
BaseRepresentation
bin1011000000011000110110…
…1100000001010101100100
31120211212120101220021221000
42300012031230001111210
53041231430300000400
641423132132353300
72356201331551533
oct260061554012544
946755511807830
1012101300000100
113946150408253
121435390a75830
1369a1bc63734c
142db9c556031a
1515ebb134a600
hexb018db01564

12101300000100 has 144 divisors (see below), whose sum is σ = 40244936659200. Its totient is φ = 3115736991360.

The previous prime is 12101300000093. The next prime is 12101300000197. The reversal of 12101300000100 is 100000310121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77196924 + ... + 77353523.

It is an arithmetic number, because the mean of its divisors is an integer number (279478726800).

Almost surely, 212101300000100 is an apocalyptic number.

12101300000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101300000100 is an abundant number, since it is smaller than the sum of its proper divisors (28143636659100).

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

12101300000100 is a wasteful number, since it uses less digits than its factorization.

12101300000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154550499 (or 154550486 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12101300000100 its reverse (100000310121), we get a palindrome (12201300310221).

The spelling of 12101300000100 in words is "twelve trillion, one hundred one billion, three hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 29 30 36 45 50 54 58 60 75 87 90 100 108 116 135 145 150 174 180 225 261 270 290 300 348 435 450 522 540 580 675 725 783 870 900 1044 1305 1350 1450 1566 1740 2175 2610 2700 2900 3132 3915 4350 5220 6525 7830 8700 13050 15660 19575 26100 39150 78300 154550447 309100894 463651341 618201788 772752235 927302682 1390954023 1545504470 1854605364 2318256705 2781908046 3091008940 3863761175 4172862069 4481962963 4636513410 5563816092 6954770115 7727522350 8345724138 8963925926 9273026820 11591283525 13445888889 13909540230 15455044700 16691448276 17927851852 20864310345 22409814815 23182567050 26891777778 27819080460 34773850575 40337666667 41728620690 44819629630 46365134100 53783555556 67229444445 69547701150 80675333334 83457241380 89639259260 104321551725 112049074075 121013000001 134458888890 139095402300 161350666668 201688333335 208643103450 224098148150 242026000002 268917777780 336147222225 403376666670 417286206900 448196296300 484052000004 605065000005 672294444450 806753333340 1008441666675 1210130000010 1344588888900 2016883333350 2420260000020 3025325000025 4033766666700 6050650000050 12101300000100