Search a number
-
+
130431776707060 = 22573479186506959
BaseRepresentation
bin11101101010000010000011…
…101101111101000111110100
3122002211011012210001122000221
4131222002003231331013310
5114043443234314111220
61141223310411144124
736321246006153343
oct3552020355750764
9562734183048027
10130431776707060
11386178956689a4
1212766676145044
1357a18823b146a
14242cd0873bb5a
151012c6aa729aa
hex76a083b7d1f4

130431776707060 has 48 divisors (see below), whose sum is σ = 278238543206400. Its totient is φ = 51350587732224.

The previous prime is 130431776707051. The next prime is 130431776707081. The reversal of 130431776707060 is 60707677134031.

130431776707060 is digitally balanced in base 3, 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 = 130431776706989 and 130431776707007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92554140 + ... + 93952819.

It is an arithmetic number, because the mean of its divisors is an integer number (5796636316800).

Almost surely, 2130431776707060 is an apocalyptic number.

130431776707060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130431776707060 is an abundant number, since it is smaller than the sum of its proper divisors (147806766499340).

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

130431776707060 is a wasteful number, since it uses less digits than its factorization.

130431776707060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186507520 (or 186507518 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 52.

The spelling of 130431776707060 in words is "one hundred thirty trillion, four hundred thirty-one billion, seven hundred seventy-six million, seven hundred seven thousand, sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 479 730 958 1460 1916 2395 4790 9580 34967 69934 139868 174835 349670 699340 186506959 373013918 746027836 932534795 1865069590 3730139180 13615008007 27230016014 54460032028 68075040035 89336833361 136150080070 178673666722 272300160140 357347333444 446684166805 893368333610 1786736667220 6521588835353 13043177670706 26086355341412 32607944176765 65215888353530 130431776707060