Search a number
-
+
130110110120140 = 225173132399509633
BaseRepresentation
bin11101100101010110011110…
…111001010011100011001100
3122001200101221021121221120121
4131211112132321103203030
5114023211001142321030
61140415432011554324
736256100551244053
oct3545263671234314
9561611837557517
10130110110120140
113850342a221217
121271426475b9a4
13577a43b82a027
14241b511c4939a
1510096e119447a
hex76559ee538cc

130110110120140 has 96 divisors (see below), whose sum is σ = 290349497894400. Its totient is φ = 48805687197696.

The previous prime is 130110110120119. The next prime is 130110110120143. The reversal of 130110110120140 is 41021011011031.

It is not an unprimeable number, because it can be changed into a prime (130110110120143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255046764 + ... + 255556396.

It is an arithmetic number, because the mean of its divisors is an integer number (3024473936400).

Almost surely, 2130110110120140 is an apocalyptic number.

130110110120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130110110120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145174748947200).

130110110120140 is an abundant number, since it is smaller than the sum of its proper divisors (160239387774260).

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

130110110120140 is a wasteful number, since it uses less digits than its factorization.

130110110120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512371 (or 512369 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 130110110120140 its reverse (41021011011031), we get a palindrome (171131121131171).

The spelling of 130110110120140 in words is "one hundred thirty trillion, one hundred ten billion, one hundred ten million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 2399 3130 4798 5321 6260 9596 10642 11995 21284 23990 26605 40783 47980 53210 81566 106420 163132 203915 407830 509633 750887 815660 1019266 1501774 2038532 2548165 3003548 3754435 5096330 7508870 8663761 10192660 12765079 15017740 17327522 25530158 34655044 43318805 51060316 63825395 86637610 127650790 159515129 173275220 255301580 319030258 638060516 797575645 1222609567 1595151290 2445219134 2711757193 3190302580 4890438268 5423514386 6113047835 10847028772 12226095670 13558785965 20784362639 24452191340 27117571930 41568725278 54235143860 83137450556 103921813195 207843626390 382676794471 415687252780 765353588942 1530707177884 1913383972355 3826767944710 6505505506007 7653535889420 13011011012014 26022022024028 32527527530035 65055055060070 130110110120140