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13214430300 = 22352283317491
BaseRepresentation
bin11000100111010010…
…00011010001011100
31021002221021121112110
430103221003101130
5204030343232200
610023131034020
7645315542601
oct142351032134
937087247473
1013214430300
115671224085
12268959b910
13132793c236
148d50266a8
155251abb50
hex313a4345c

13214430300 has 144 divisors (see below), whose sum is σ = 38568281472. Its totient is φ = 3493190400.

The previous prime is 13214430287. The next prime is 13214430331. The reversal of 13214430300 is 303441231.

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, 26913055 + ... + 26913545.

It is an arithmetic number, because the mean of its divisors is an integer number (267835288).

Almost surely, 213214430300 is an apocalyptic number.

13214430300 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 13214430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284140736).

13214430300 is an abundant number, since it is smaller than the sum of its proper divisors (25353851172).

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

13214430300 is a wasteful number, since it uses less digits than its factorization.

13214430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13214430300 its reverse (303441231), we get a palindrome (13517871531).

The spelling of 13214430300 in words is "thirteen billion, two hundred fourteen million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 317 491 566 634 849 951 982 1132 1268 1415 1473 1585 1698 1902 1964 2455 2830 2946 3170 3396 3804 4245 4755 4910 5660 5892 6340 7075 7365 7925 8490 9510 9820 12275 14150 14730 15850 16980 19020 21225 23775 24550 28300 29460 31700 36825 42450 47550 49100 73650 84900 89711 95100 138953 147300 155647 179422 269133 277906 311294 358844 416859 448555 466941 538266 555812 622588 694765 778235 833718 897110 933882 1076532 1345665 1389530 1556470 1667436 1794220 1867764 2084295 2242775 2334705 2691330 2779060 3112940 3473825 3891175 4168590 4485550 4669410 5382660 6728325 6947650 7782350 8337180 8971100 9338820 10421475 11673525 13456650 13895300 15564700 20842950 23347050 26913300 41685900 44048101 46694100 88096202 132144303 176192404 220240505 264288606 440481010 528577212 660721515 880962020 1101202525 1321443030 2202405050 2642886060 3303607575 4404810100 6607215150 13214430300