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133123320 = 233251133617
BaseRepresentation
bin1111110111101…
…00110011111000
3100021111100212100
413323310303320
5233034421240
621113143400
73204346431
oct773646370
9307440770
10133123320
1169165580
12386bab60
13217702c5
1413974488
15ba48e30
hex7ef4cf8

133123320 has 96 divisors (see below), whose sum is σ = 471996720. Its totient is φ = 32271360.

The previous prime is 133123279. The next prime is 133123321. The reversal of 133123320 is 23321331.

133123320 is a `hidden beast` number, since 1 + 331 + 2 + 332 + 0 = 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 = 133123293 and 133123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133123321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12849 + ... + 20768.

Almost surely, 2133123320 is an apocalyptic number.

133123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133123320 is an abundant number, since it is smaller than the sum of its proper divisors (338873400).

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

133123320 is a wasteful number, since it uses less digits than its factorization.

133123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33645 (or 33638 counting only the distinct ones).

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

The square root of 133123320 is about 11537.9079559511. The cubic root of 133123320 is about 510.6045886480.

Adding to 133123320 its reverse (23321331), we get a palindrome (156444651).

The spelling of 133123320 in words is "one hundred thirty-three million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 33617 67234 100851 134468 168085 201702 268936 302553 336170 369787 403404 504255 605106 672340 739574 806808 1008510 1109361 1210212 1344680 1479148 1512765 1848935 2017020 2218722 2420424 2958296 3025530 3328083 3697870 4034040 4437444 5546805 6051060 6656166 7395740 8874888 11093610 12102120 13312332 14791480 16640415 22187220 26624664 33280830 44374440 66561660 133123320