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133341210 = 232510114669
BaseRepresentation
bin1111111001010…
…10000000011010
3100021220102202100
413330222000122
5233113404320
621121544230
73206244612
oct774520032
9307812670
10133341210
11692a4252
12387a5076
1321818532
14139cda42
15ba8d790
hex7f2a01a

133341210 has 48 divisors (see below), whose sum is σ = 350143560. Its totient is φ = 35203200.

The previous prime is 133341193. The next prime is 133341211. The reversal of 133341210 is 12143331.

It can be written as a sum of positive squares in 4 ways, for example, as 132089049 + 1252161 = 11493^2 + 1119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133341211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756 + ... + 16424.

Almost surely, 2133341210 is an apocalyptic number.

133341210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133341210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175071780).

133341210 is an abundant number, since it is smaller than the sum of its proper divisors (216802350).

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

133341210 is a wasteful number, since it uses less digits than its factorization.

133341210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14783 (or 14780 counting only the distinct ones).

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

The square root of 133341210 is about 11547.3464484270. The cubic root of 133341210 is about 510.8830146709.

Adding to 133341210 its reverse (12143331), we get a palindrome (145484541).

The spelling of 133341210 in words is "one hundred thirty-three million, three hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 14669 29338 44007 73345 88014 132021 146690 220035 264042 440070 660105 1320210 1481569 2963138 4444707 7407845 8889414 13334121 14815690 22223535 26668242 44447070 66670605 133341210