Search a number
-
+
13104321024300 = 22352114438963897
BaseRepresentation
bin1011111010110001011001…
…1001100101000100101100
31201101202112122220122112020
42332230112121211010230
53204200122140234200
643512013022110140
72521520201566362
oct276542631450454
951352478818466
1013104321024300
1141a2569653360
12157785671b350
13740969768a6c
14334376cc3632
1517ad17e09ea0
hexbeb1666512c

13104321024300 has 144 divisors (see below), whose sum is σ = 41455374936192. Its totient is φ = 3169633625600.

The previous prime is 13104321024283. The next prime is 13104321024331. The reversal of 13104321024300 is 342012340131.

It is a happy number.

13104321024300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131043210243002 (a number of 27 digits) contains 22 as substring.

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, 3020049 + ... + 5943848.

It is an arithmetic number, because the mean of its divisors is an integer number (287884548168).

Almost surely, 213104321024300 is an apocalyptic number.

13104321024300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104321024300 is an abundant number, since it is smaller than the sum of its proper divisors (28351053911892).

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

13104321024300 is a wasteful number, since it uses less digits than its factorization.

13104321024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8964368 (or 8964361 counting only the distinct ones).

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

Adding to 13104321024300 its reverse (342012340131), we get a palindrome (13446333364431).

The spelling of 13104321024300 in words is "thirteen trillion, one hundred four billion, three hundred twenty-one million, twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 443 550 660 825 886 1100 1329 1650 1772 2215 2658 3300 4430 4873 5316 6645 8860 9746 11075 13290 14619 19492 22150 24365 26580 29238 33225 44300 48730 58476 66450 73095 97460 121825 132900 146190 243650 292380 365475 487300 730950 1461900 8963897 17927794 26891691 35855588 44819485 53783382 89638970 98602867 107566764 134458455 179277940 197205734 224097425 268916910 295808601 394411468 448194850 493014335 537833820 591617202 672292275 896389700 986028670 1183234404 1344584550 1479043005 1972057340 2465071675 2689169100 2958086010 3971006371 4930143350 5916172020 7395215025 7942012742 9860286700 11913019113 14790430050 15884025484 19855031855 23826038226 29580860100 39710063710 43681070081 47652076452 59565095565 79420127420 87362140162 99275159275 119130191130 131043210243 174724280324 198550318550 218405350405 238260382260 262086420486 297825477825 397100637100 436810700810 524172840972 595650955650 655216051215 873621401620 1092026752025 1191301911300 1310432102430 2184053504050 2620864204860 3276080256075 4368107008100 6552160512150 13104321024300