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130031231220 = 223251183791233
BaseRepresentation
bin111100100011001110…
…1110010000011110100
3110102122002200221210200
41321012131302003310
54112300443344340
6135422512320500
712252203141322
oct1710635620364
9412562627720
10130031231220
1150167270660
122124b243130
13c3534bb047
1464176b8d12
1535b0982330
hex1e467720f4

130031231220 has 144 divisors (see below), whose sum is σ = 435469874112. Its totient is φ = 31142891520.

The previous prime is 130031231219. The next prime is 130031231243. The reversal of 130031231220 is 22132130031.

130031231220 is a `hidden beast` number, since 1 + 300 + 31 + 2 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130031231193 and 130031231202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231277 + ... + 559956.

It is an arithmetic number, because the mean of its divisors is an integer number (3024096348).

Almost surely, 2130031231220 is an apocalyptic number.

130031231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130031231220 is an abundant number, since it is smaller than the sum of its proper divisors (305438642892).

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

130031231220 is a wasteful number, since it uses less digits than its factorization.

130031231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791342 (or 791337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130031231220 its reverse (22132130031), we get a palindrome (152163361251).

The spelling of 130031231220 in words is "one hundred thirty billion, thirty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 660 747 830 913 990 996 1245 1494 1660 1826 1980 2490 2739 2988 3652 3735 4565 4980 5478 7470 8217 9130 10956 13695 14940 16434 18260 27390 32868 41085 54780 82170 164340 791233 1582466 2373699 3164932 3956165 4747398 7121097 7912330 8703563 9494796 11868495 14242194 15824660 17407126 23736990 26110689 28484388 34814252 35605485 43517815 47473980 52221378 65672339 71210970 78332067 87035630 104442756 130553445 131344678 142421940 156664134 174071260 197017017 261106890 262689356 313328268 328361695 391660335 394034034 522213780 591051051 656723390 722395729 783320670 788068068 985085085 1182102102 1313446780 1444791458 1566641340 1970170170 2167187187 2364204204 2889582916 2955255255 3611978645 3940340340 4334374374 5910510510 6501561561 7223957290 8668748748 10835935935 11821021020 13003123122 14447914580 21671871870 26006246244 32507807805 43343743740 65015615610 130031231220