Search a number
-
+
5103303135120 = 2432537191565433
BaseRepresentation
bin100101001000011010010…
…0100100000111110010000
3200001212111222012010012200
41022100310210200332100
51132103031100310440
614504231453123200
71034462415631161
oct112206444407620
920055458163180
105103303135120
1116983316389a3
126a5079a89500
132b0316013018
1413900339b768
158cb3692cc30
hex4a434920f90

5103303135120 has 120 divisors (see below), whose sum is σ = 17601798337656. Its totient is φ = 1324100265984.

The previous prime is 5103303135107. The next prime is 5103303135163. The reversal of 5103303135120 is 215313033015.

5103303135120 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 303 + 1 + 351 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 662960722176 + 4440342412944 = 814224^2 + 2107212^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95756077 + ... + 95809356.

Almost surely, 25103303135120 is an apocalyptic number.

It is an amenable number.

5103303135120 is an abundant number, since it is smaller than the sum of its proper divisors (12498495202536).

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

5103303135120 is a wasteful number, since it uses less digits than its factorization.

5103303135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191565489 (or 191565480 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 5103303135120 its reverse (215313033015), we get a palindrome (5318616168135).

The spelling of 5103303135120 in words is "five trillion, one hundred three billion, three hundred three million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 191565433 383130866 574696299 766261732 957827165 1149392598 1532523464 1724088897 1915654330 2298785196 2873481495 3065046928 3448177794 3831308660 4597570392 5746962990 6896355588 7087921021 7662617320 8620444485 9195140784 11493925980 13792711176 14175842042 15325234640 17240888970 21263763063 22987851960 27585422352 28351684084 34481777940 35439605105 42527526126 45975703920 56703368168 63791289189 68963555880 70879210210 85055052252 106318815315 113406736336 127582578378 137927111760 141758420420 170110104504 212637630630 255165156756 283516840840 318956445945 340220209008 425275261260 510330313512 567033681680 637912891890 850550522520 1020660627024 1275825783780 1701101045040 2551651567560 5103303135120