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133320003120 = 24325919920129
BaseRepresentation
bin111110000101001111…
…1011100111000110000
3110202010022002212201100
41330022133130320300
54141014410044440
6141125114204400
712426536220513
oct1741237347060
9422108085640
10133320003120
11515a4736667
1221a08723700
13c75896b815
14664a3b0d7a
153704568230
hex1f0a7dce30

133320003120 has 120 divisors (see below), whose sum is σ = 447803928000. Its totient is φ = 35546370048.

The previous prime is 133320003119. The next prime is 133320003151. The reversal of 133320003120 is 21300023331.

133320003120 is a `hidden beast` number, since 1 + 33 + 320 + 0 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 133320003093 and 133320003102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6613216 + ... + 6633344.

It is an arithmetic number, because the mean of its divisors is an integer number (3731699400).

Almost surely, 2133320003120 is an apocalyptic number.

133320003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133320003120 is an abundant number, since it is smaller than the sum of its proper divisors (314483924880).

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

133320003120 is a wasteful number, since it uses less digits than its factorization.

133320003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29347 (or 29338 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133320003120 its reverse (21300023331), we get a palindrome (154620026451).

The spelling of 133320003120 in words is "one hundred thirty-three billion, three hundred twenty million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 9199 18398 20129 27597 36796 40258 45995 55194 60387 73592 80516 82791 91990 100645 110388 120774 137985 147184 161032 165582 181161 183980 201290 220776 241548 275970 301935 322064 331164 362322 367960 402580 413955 441552 483096 551940 603870 662328 724644 735920 805160 827910 905805 966192 1103880 1207740 1324656 1449288 1610320 1655820 1811610 2207760 2415480 2898576 3311640 3623220 4830960 6623280 7246440 14492880 185166671 370333342 555500013 740666684 925833355 1111000026 1481333368 1666500039 1851666710 2222000052 2777500065 2962666736 3333000078 3703333420 4444000104 5555000130 6666000156 7406666840 8332500195 8888000208 11110000260 13332000312 14813333680 16665000390 22220000520 26664000624 33330000780 44440001040 66660001560 133320003120