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13140322501230 = 23252231907343327
BaseRepresentation
bin1011111100110111100001…
…0000010100001001101110
31201112012110200001011112200
42333031320100110021232
53210242340030014410
643540325242442330
72524233304234461
oct277157020241156
951465420034480
1013140322501230
114206863536881
1215828235033a6
137441862c5c32
14335dd04032d8
1517bc2385e3c0
hexbf37841426e

13140322501230 has 96 divisors (see below), whose sum is σ = 34336139894784. Its totient is φ = 3486533208768.

The previous prime is 13140322501219. The next prime is 13140322501247. The reversal of 13140322501230 is 3210522304131.

13140322501230 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 2 + 25 + 0 + 1 + 230 = 666.

13140322501230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13140322501194 and 13140322501203.

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, 38101827 + ... + 38445153.

It is an arithmetic number, because the mean of its divisors is an integer number (357668123904).

Almost surely, 213140322501230 is an apocalyptic number.

13140322501230 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 13140322501230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168069947392).

13140322501230 is an abundant number, since it is smaller than the sum of its proper divisors (21195817393554).

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

13140322501230 is a wasteful number, since it uses less digits than its factorization.

13140322501230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345470 (or 345467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13140322501230 its reverse (3210522304131), we get a palindrome (16350844805361).

The spelling of 13140322501230 in words is "thirteen trillion, one hundred forty billion, three hundred twenty-two million, five hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 1907 2007 2230 3345 3814 4014 5721 6690 9535 10035 11442 17163 19070 20070 28605 34326 57210 85815 171630 343327 425261 686654 850522 1029981 1275783 1716635 2059962 2126305 2551566 3089943 3433270 3827349 4252610 5149905 6179886 6378915 7654698 10299810 12757830 15449715 19136745 30899430 38273490 76561921 153123842 229685763 382809605 459371526 654724589 689057289 765619210 1148428815 1309449178 1378114578 1964173767 2296857630 3273622945 3445286445 3928347534 5892521301 6547245890 6890572890 9820868835 11785042602 19641737670 29462606505 58925213010 146003583347 292007166694 438010750041 730017916735 876021500082 1314032250123 1460035833470 2190053750205 2628064500246 4380107500410 6570161250615 13140322501230