Search a number
-
+
1293830130015 = 335179269199039
BaseRepresentation
bin10010110100111110010…
…010010000100101011111
311120200121020122120202000
4102310332102100211133
5132144231003130030
62430213301533343
7162322213435263
oct22647622204537
94520536576660
101293830130015
1145978a418595
1218a905114253
1395013a935b7
144689bd9c0a3
15239c7435860
hex12d3e49095f

1293830130015 has 64 divisors (see below), whose sum is σ = 2321602560000. Its totient is φ = 683633430144.

The previous prime is 1293830130011. The next prime is 1293830130031. The reversal of 1293830130015 is 5100310383921.

1293830130015 is a `hidden beast` number, since 1 + 2 + 9 + 38 + 301 + 300 + 15 = 666.

It is not a de Polignac number, because 1293830130015 - 22 = 1293830130011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293830130011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6400866 + ... + 6599904.

It is an arithmetic number, because the mean of its divisors is an integer number (36275040000).

Almost surely, 21293830130015 is an apocalyptic number.

1293830130015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1293830130015 is a deficient number, since it is larger than the sum of its proper divisors (1027772429985).

1293830130015 is a wasteful number, since it uses less digits than its factorization.

1293830130015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199501 (or 199495 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1293830130015 in words is "one trillion, two hundred ninety-three billion, eight hundred thirty million, one hundred thirty thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 135 179 269 537 807 895 1345 1611 2421 2685 4035 4833 7263 8055 12105 24165 36315 48151 144453 199039 240755 433359 597117 722265 995195 1300077 1791351 2166795 2985585 5374053 6500385 8956755 26870265 35627981 53541491 106883943 160624473 178139905 267707455 320651829 481873419 534419715 803122365 961955487 1445620257 1603259145 2409367095 4809777435 7228101285 9583926889 28751780667 47919634445 86255342001 143758903335 258766026003 431276710005 1293830130015