Search a number
-
+
13140242303100 = 22352115876783461
BaseRepresentation
bin1011111100110111001101…
…1110011000100001111100
31201112012021002010200101120
42333031303132120201330
53210242204012144400
643540313255510540
72524231311454623
oct277156336304174
951465232120346
1013140242303100
11420682223a830
121582800688450
137441727c6613
14335dc38c86ba
1517bc1b7bbca0
hexbf37379887c

13140242303100 has 144 divisors (see below), whose sum is σ = 41546045632896. Its totient is φ = 3180086048000.

The previous prime is 13140242303099. The next prime is 13140242303143. The reversal of 13140242303100 is 130324204131.

It is a happy number.

It is a super-2 number, since 2×131402423031002 (a number of 27 digits) contains 22 as substring.

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, 1454631 + ... + 5328830.

It is an arithmetic number, because the mean of its divisors is an integer number (288514205784).

Almost surely, 213140242303100 is an apocalyptic number.

13140242303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140242303100 is an abundant number, since it is smaller than the sum of its proper divisors (28405803329796).

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

13140242303100 is a wasteful number, since it uses less digits than its factorization.

13140242303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784076 (or 6784069 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13140242303100 its reverse (130324204131), we get a palindrome (13270566507231).

The spelling of 13140242303100 in words is "thirteen trillion, one hundred forty billion, two hundred forty-two million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 587 660 825 1100 1174 1650 1761 2348 2935 3300 3522 5870 6457 7044 8805 11740 12914 14675 17610 19371 25828 29350 32285 35220 38742 44025 58700 64570 77484 88050 96855 129140 161425 176100 193710 322850 387420 484275 645700 968550 1937100 6783461 13566922 20350383 27133844 33917305 40700766 67834610 74618071 81401532 101751915 135669220 149236142 169586525 203503830 223854213 298472284 339173050 373090355 407007660 447708426 508759575 678346100 746180710 895416852 1017519150 1119271065 1492361420 1865451775 2035038300 2238542130 3730903550 3981891607 4477084260 5596355325 7461807100 7963783214 11192710650 11945674821 15927566428 19909458035 22385421300 23891349642 39818916070 43800807677 47782699284 59728374105 79637832140 87601615354 99547290175 119456748210 131402423031 175203230708 199094580350 219004038385 238913496420 262804846062 298641870525 398189160700 438008076770 525609692124 597283741050 657012115155 876016153540 1095020191925 1194567482100 1314024230310 2190040383850 2628048460620 3285060575775 4380080767700 6570121151550 13140242303100