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13231313311230 = 2325725333562591
BaseRepresentation
bin1100000010001010011110…
…1110101101010111111110
31201211220022222022020110200
43000202213232231113332
53213240212201424410
644050214215344330
72533634164325100
oct300424756552776
951756288266420
1013231313311230
114241406474103
1215983980820a6
1374c927488401
1433a582b39570
1517e29bba43c0
hexc08a7bad5fe

13231313311230 has 144 divisors (see below), whose sum is σ = 40025547080064. Its totient is φ = 3023727719040.

The previous prime is 13231313311207. The next prime is 13231313311231. The reversal of 13231313311230 is 3211331313231.

13231313311230 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 313 + 311 + 2 + 30 = 666.

It is a super-2 number, since 2×132313133112302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13231313311194 and 13231313311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231313311231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23237235 + ... + 23799825.

It is an arithmetic number, because the mean of its divisors is an integer number (277955188056).

Almost surely, 213231313311230 is an apocalyptic number.

13231313311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231313311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012773540032).

13231313311230 is an abundant number, since it is smaller than the sum of its proper divisors (26794233768834).

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

13231313311230 is a wasteful number, since it uses less digits than its factorization.

13231313311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567951 (or 567941 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13231313311230 its reverse (3211331313231), we get a palindrome (16442644624461).

The spelling of 13231313311230 in words is "thirteen trillion, two hundred thirty-one billion, three hundred thirteen million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 5333 10666 15999 26665 31998 37331 47997 53330 74662 79995 95994 111993 159990 186655 223986 239985 261317 335979 373310 479970 522634 559965 562591 671958 783951 1119930 1125182 1306585 1567902 1679895 1687773 2351853 2613170 2812955 3359790 3375546 3919755 3938137 4703706 5063319 5625910 7839510 7876274 8438865 10126638 11759265 11814411 16877730 19690685 23518530 23628822 25316595 27566959 35443233 39381370 50633190 55133918 59072055 70886466 82700877 118144110 137834795 165401754 177216165 248102631 275669590 354432330 413504385 496205262 827008770 1240513155 2481026310 3000297803 6000595606 9000893409 15001489015 18001786818 21002084621 27002680227 30002978030 42004169242 45004467045 54005360454 63006253863 90008934090 105010423105 126012507726 135013401135 147014592347 189018761589 210020846210 270026802270 294029184694 315031269315 378037523178 441043777041 630062538630 735072961735 882087554082 945093807945 1323131331123 1470145923470 1890187615890 2205218885205 2646262662246 4410437770410 6615656655615 13231313311230