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133300000 = 25553143
BaseRepresentation
bin1111111000111…
…11111100100000
3100021211100020001
413330133330200
5233111100000
621121025344
73206013511
oct774377440
9307740201
10133300000
1169276299
1238785254
1321802852
14139bca08
15ba8146a
hex7f1ff20

133300000 has 144 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 50400000.

The previous prime is 133299977. The next prime is 133300001. The reversal of 133300000 is 3331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 133300000.

It is not an unprimeable number, because it can be changed into a prime (133300001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3099979 + ... + 3100021.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2133300000 is an apocalyptic number.

133300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

133300000 is an abundant number, since it is smaller than the sum of its proper divisors (213177824).

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

133300000 is an frugal number, since it uses more digits than its factorization.

133300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 133300000 is about 11545.5619178973. The cubic root of 133300000 is about 510.8303786346.

Adding to 133300000 its reverse (3331), we get a palindrome (133303331).

The spelling of 133300000 in words is "one hundred thirty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 43 50 62 80 86 100 124 125 155 160 172 200 215 248 250 310 344 400 430 496 500 620 625 688 775 800 860 992 1000 1075 1240 1250 1333 1376 1550 1720 2000 2150 2480 2500 2666 3100 3125 3440 3875 4000 4300 4960 5000 5332 5375 6200 6250 6665 6880 7750 8600 10000 10664 10750 12400 12500 13330 15500 17200 19375 20000 21328 21500 24800 25000 26660 26875 31000 33325 34400 38750 42656 43000 50000 53320 53750 62000 66650 77500 86000 96875 100000 106640 107500 124000 133300 134375 155000 166625 172000 193750 213280 215000 266600 268750 310000 333250 387500 430000 533200 537500 620000 666500 775000 833125 860000 1066400 1075000 1333000 1550000 1666250 2150000 2666000 3100000 3332500 4165625 4300000 5332000 6665000 8331250 13330000 16662500 26660000 33325000 66650000 133300000