Search a number
-
+
13130514130300 = 2252725174732579
BaseRepresentation
bin1011111100010010111110…
…1000010110010101111100
31201111021011002212022002021
42333010233220112111330
53210112243104132200
643532024103205524
72523435244404040
oct277045750262574
951437132768067
1013130514130300
11420268aa075a6
1215809467468a4
13743282221858
1433573d8c4020
1517b84c70541a
hexbf12fa1657c

13130514130300 has 72 divisors (see below), whose sum is σ = 32693411237760. Its totient is φ = 4483954680000.

The previous prime is 13130514130177. The next prime is 13130514130343. The reversal of 13130514130300 is 303141503131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 37190590 + ... + 37541989.

It is an arithmetic number, because the mean of its divisors is an integer number (454075156080).

Almost surely, 213130514130300 is an apocalyptic number.

13130514130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130514130300 is an abundant number, since it is smaller than the sum of its proper divisors (19562897107460).

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

13130514130300 is a wasteful number, since it uses less digits than its factorization.

13130514130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74732851 (or 74732844 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 13130514130300 its reverse (303141503131), we get a palindrome (13433655633431).

The spelling of 13130514130300 in words is "thirteen trillion, one hundred thirty billion, five hundred fourteen million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 251 350 502 700 1004 1255 1757 2510 3514 5020 6275 7028 8785 12550 17570 25100 35140 43925 87850 175700 74732579 149465158 298930316 373662895 523128053 747325790 1046256106 1494651580 1868314475 2092512212 2615640265 3736628950 5231280530 7473257900 10462561060 13078201325 18757877329 26156402650 37515754658 52312805300 75031509316 93789386645 131305141303 187578773290 262610282606 375157546580 468946933225 525220565212 656525706515 937893866450 1313051413030 1875787732900 2626102826060 3282628532575 6565257065150 13130514130300