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10133000220 = 2235783290677
BaseRepresentation
bin10010110111111100…
…10101000000011100
3222011012000202010110
421123332111000130
5131223022001340
64353253210020
7506051036460
oct113376250034
928135022113
1010133000220
11432a8a6052
121b69630910
13c56416725
146c1aa44a0
153e48d0680
hex25bf9501c

10133000220 has 96 divisors (see below), whose sum is σ = 32816383488. Its totient is φ = 2288201472.

The previous prime is 10133000209. The next prime is 10133000239. The reversal of 10133000220 is 2200033101.

It is a happy number.

10133000220 is digitally balanced in base 2, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10133000196 and 10133000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110479 + ... + 180198.

It is an arithmetic number, because the mean of its divisors is an integer number (341837328).

Almost surely, 210133000220 is an apocalyptic number.

10133000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133000220 is an abundant number, since it is smaller than the sum of its proper divisors (22683383268).

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

10133000220 is a wasteful number, since it uses less digits than its factorization.

10133000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290779 (or 290777 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10133000220 its reverse (2200033101), we get a palindrome (12333033321).

The spelling of 10133000220 in words is "ten billion, one hundred thirty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 290677 581354 872031 1162708 1453385 1744062 2034739 2906770 3488124 4069478 4360155 5813540 6104217 8138956 8720310 10173695 12208434 17440620 20347390 24126191 24416868 30521085 40694780 48252382 61042170 72378573 96504764 120630955 122084340 144757146 168883337 241261910 289514292 337766674 361892865 482523820 506650011 675533348 723785730 844416685 1013300022 1447571460 1688833370 2026600044 2533250055 3377666740 5066500110 10133000220