Search a number
-
+
130442102143410 = 235347104916217369
BaseRepresentation
bin11101101010001011101011…
…001010010111100110110010
3122002212010212101012010220110
4131222023223022113212302
5114044130411122042120
61141232135141122150
736322062615005331
oct3552135312274662
9562763771163813
10130442102143410
1138621204050072
12127686780b9356
1357a2839634405
14242d607bb5d18
1510131722b62e0
hex76a2eb2979b2

130442102143410 has 128 divisors (see below), whose sum is σ = 314499078432000. Its totient is φ = 34625176842240.

The previous prime is 130442102143289. The next prime is 130442102143447. The reversal of 130442102143410 is 14341201244031.

It is a happy number.

130442102143410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17701462206 + ... + 17701469574.

It is an arithmetic number, because the mean of its divisors is an integer number (2457024050250).

Almost surely, 2130442102143410 is an apocalyptic number.

130442102143410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130442102143410 is an abundant number, since it is smaller than the sum of its proper divisors (184056976288590).

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

130442102143410 is a wasteful number, since it uses less digits than its factorization.

130442102143410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 130442102143410 its reverse (14341201244031), we get a palindrome (144783303387441).

The spelling of 130442102143410 in words is "one hundred thirty trillion, four hundred forty-two billion, one hundred two million, one hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 347 694 1041 1049 1621 1735 2082 2098 3147 3242 3470 4863 5205 5245 6294 7369 8105 9726 10410 10490 14738 15735 16210 22107 24315 31470 36845 44214 48630 73690 110535 221070 364003 562487 728006 1092009 1124974 1687461 1700429 1820015 2184018 2557043 2812435 3374922 3400858 3640030 5101287 5114086 5460045 5624870 7671129 7730081 8437305 8502145 10202574 10920090 11945149 12785215 15342258 15460162 16874610 17004290 23190243 23890298 25506435 25570430 35835447 38355645 38650405 46380486 51012870 59725745 71670894 76711290 77300810 115951215 119451490 179177235 231902430 358354470 590048863 1180097726 1770146589 2682338107 2950244315 3540293178 4144966703 5364676214 5900488630 8047014321 8289933406 8850732945 12434900109 12530461301 13411690535 16094028642 17701465890 20724833515 24869800218 25060922602 26823381070 37591383903 40235071605 41449667030 62174500545 62652306505 75182767806 80470143210 124349001090 125304613010 187956919515 375913839030 4348070071447 8696140142894 13044210214341 21740350357235 26088420428682 43480700714470 65221051071705 130442102143410