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13000210300 = 22527114141179
BaseRepresentation
bin11000001101101111…
…10111011101111100
31020120000012002221101
430012313313131330
5203111023212200
65545555342444
7640104651520
oct140667673574
936500162841
1013000210300
115571309460
1226298b1a24
1312c244663c
148b47c1d80
1551149426a
hex306df777c

13000210300 has 144 divisors (see below), whose sum is σ = 36030193920. Its totient is φ = 3953088000.

The previous prime is 13000210297. The next prime is 13000210309. The reversal of 13000210300 is 301200031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000210309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295111 + ... + 336289.

It is an arithmetic number, because the mean of its divisors is an integer number (250209680).

Almost surely, 213000210300 is an apocalyptic number.

13000210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015096960).

13000210300 is an abundant number, since it is smaller than the sum of its proper divisors (23029983620).

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

13000210300 is a wasteful number, since it uses less digits than its factorization.

13000210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41252 (or 41245 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13000210300 its reverse (301200031), we get a palindrome (13301410331).

The spelling of 13000210300 in words is "thirteen billion, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 77 82 100 110 140 154 164 175 205 220 275 287 308 350 385 410 451 550 574 700 770 820 902 1025 1100 1148 1435 1540 1804 1925 2050 2255 2870 3157 3850 4100 4510 5740 6314 7175 7700 9020 11275 12628 14350 15785 22550 28700 31570 41179 45100 63140 78925 82358 157850 164716 205895 288253 315700 411790 452969 576506 823580 905938 1029475 1153012 1441265 1688339 1811876 2058950 2264845 2882530 3170783 3376678 4117900 4529690 5765060 6341566 6753356 7206325 8441695 9059380 11324225 11818373 12683132 14412650 15853915 16883390 18571729 22648450 23636746 28825300 31707830 33766780 37143458 42208475 45296900 47273492 59091865 63415660 74286916 79269575 84416950 92858645 118183730 130002103 158539150 168833900 185717290 236367460 260004206 295459325 317078300 371434580 464293225 520008412 590918650 650010515 928586450 1181837300 1300021030 1857172900 2600042060 3250052575 6500105150 13000210300