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130033112220 = 223251125970299
BaseRepresentation
bin111100100011010010…
…0111101010010011100
3110102122020020112001100
41321012210331102130
54112301434042340
6135423020513100
712252225134304
oct1710644752234
9412566215040
10130033112220
1150168335900
122124b9ab790
13c3539c926b
146417a48604
1535b0c04830
hex1e4693d49c

130033112220 has 108 divisors (see below), whose sum is σ = 433551245400. Its totient is φ = 31523173440.

The previous prime is 130033112219. The next prime is 130033112327. The reversal of 130033112220 is 22211330031.

130033112220 is a `hidden beast` number, since 1 + 300 + 33 + 112 + 220 = 666.

It is a super-2 number, since 2×1300331122202 (a number of 23 digits) contains 22 as substring.

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 = 130033112193 and 130033112202.

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 35 ways as a sum of consecutive naturals, for example, 2963370 + ... + 3006929.

Almost surely, 2130033112220 is an apocalyptic number.

130033112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130033112220 is an abundant number, since it is smaller than the sum of its proper divisors (303518133180).

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

130033112220 is a wasteful number, since it uses less digits than its factorization.

130033112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970336 (or 5970320 counting only the distinct ones).

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

Adding to 130033112220 its reverse (22211330031), we get a palindrome (152244442251).

The spelling of 130033112220 in words is "one hundred thirty billion, thirty-three million, one hundred twelve 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 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 5970299 11940598 17910897 23881196 29851495 35821794 53732691 59702990 65673289 71643588 89554485 107465382 119405980 131346578 179108970 197019867 214930764 262693156 268663455 328366445 358217940 394039734 537326910 591059601 656732890 722406179 788079468 985099335 1074653820 1182119202 1313465780 1444812358 1970198670 2167218537 2364238404 2889624716 2955298005 3612030895 3940397340 4334437074 5910596010 6501655611 7224061790 8668874148 10836092685 11821192020 13003311222 14448123580 21672185370 26006622444 32508278055 43344370740 65016556110 130033112220