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13300231211000 = 235319857816817
BaseRepresentation
bin1100000110001011001110…
…0011101000011111111000
31202002111012222111021212222
43001202303203220133320
53220402333142223000
644142013013223212
72541624061652426
oct301426343503770
952074188437788
1013300231211000
114268661867268
1215a9810631b08
1375628b67b566
1433da3db52116
15180e822b7a85
hexc18b38e87f8

13300231211000 has 128 divisors (see below), whose sum is σ = 32798836699200. Its totient is φ = 5034200371200.

The previous prime is 13300231210927. The next prime is 13300231211027. The reversal of 13300231211000 is 11213200331.

13300231211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13300231211000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15874592 + ... + 16691408.

Almost surely, 213300231211000 is an apocalyptic number.

13300231211000 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 13300231211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399418349600).

13300231211000 is an abundant number, since it is smaller than the sum of its proper divisors (19498605488200).

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

13300231211000 is a wasteful number, since it uses less digits than its factorization.

13300231211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817714 (or 817700 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13300231211000 its reverse (11213200331), we get a palindrome (13311444411331).

The spelling of 13300231211000 in words is "thirteen trillion, three hundred billion, two hundred thirty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 857 950 1000 1714 1900 2375 3428 3800 4285 4750 6856 8570 9500 16283 17140 19000 21425 32566 34280 42850 65132 81415 85700 107125 130264 162830 171400 214250 325660 407075 428500 651320 814150 816817 857000 1628300 1633634 2035375 3256600 3267268 4070750 4084085 6534536 8141500 8168170 15519523 16283000 16336340 20420425 31039046 32672680 40840850 62078092 77597615 81681700 102102125 124156184 155195230 163363400 204204250 310390460 387988075 408408500 620780920 700012169 775976150 816817000 1400024338 1551952300 1939940375 2800048676 3103904600 3500060845 3879880750 5600097352 7000121690 7759761500 13300231211 14000243380 15519523000 17500304225 26600462422 28000486760 35000608450 53200924844 66501156055 70001216900 87501521125 106401849688 133002312110 140002433800 175003042250 266004624220 332505780275 350006084500 532009248440 665011560550 700012169000 1330023121100 1662528901375 2660046242200 3325057802750 6650115605500 13300231211000