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13431130531050 = 2352719629130973
BaseRepresentation
bin1100001101110010110111…
…0000111010010011101010
31202120000002120122201200210
43003130231300322103222
53230023423403443200
644322102020041550
72554236635554221
oct303345560722352
952500076581623
1013431130531050
114309124043901
12160b0625332b6
1376571c96c11b
143460da83bcb8
15184594071650
hexc372dc3a4ea

13431130531050 has 96 divisors (see below), whose sum is σ = 33782113342080. Its totient is φ = 3530795564800.

The previous prime is 13431130531037. The next prime is 13431130531051. The reversal of 13431130531050 is 5013503113431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13431130530999 and 13431130531017.

It is not an unprimeable number, because it can be changed into a prime (13431130531051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102483364 + ... + 102614336.

It is an arithmetic number, because the mean of its divisors is an integer number (351897013980).

Almost surely, 213431130531050 is an apocalyptic number.

13431130531050 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 13431130531050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891056671040).

13431130531050 is an abundant number, since it is smaller than the sum of its proper divisors (20350982811030).

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

13431130531050 is a wasteful number, since it uses less digits than its factorization.

13431130531050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140688 (or 140683 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13431130531050 its reverse (5013503113431), we get a palindrome (18444633644481).

The spelling of 13431130531050 in words is "thirteen trillion, four hundred thirty-one billion, one hundred thirty million, five hundred thirty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 426 710 1065 1775 2130 3550 5325 9629 10650 19258 28887 48145 57774 96290 130973 144435 240725 261946 288870 392919 481450 654865 683659 722175 785838 1309730 1367318 1444350 1964595 2050977 3274325 3418295 3929190 4101954 6548650 6836590 9299083 9822975 10254885 17091475 18598166 19645950 20509770 27897249 34182950 46495415 51274425 55794498 92990830 102548850 139486245 232477075 278972490 464954150 697431225 1261139017 1394862450 2522278034 3783417051 6305695085 7566834102 12611390170 18917085255 31528475425 37834170510 63056950850 89540870207 94585426275 179081740414 189170852550 268622610621 447704351035 537245221242 895408702070 1343113053105 2238521755175 2686226106210 4477043510350 6715565265525 13431130531050