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133241300 = 225219233049
BaseRepresentation
bin1111111000100…
…01100111010100
3100021201100200222
413330101213110
5233102210200
621115453512
73205350413
oct774214724
9307640628
10133241300
1169236185
1238757298
13217b1c0a
14139a547a
15ba6dd85
hex7f119d4

133241300 has 72 divisors (see below), whose sum is σ = 317688000. Its totient is φ = 48280320.

The previous prime is 133241299. The next prime is 133241309. The reversal of 133241300 is 3142331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133241309) 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, 42176 + ... + 45224.

Almost surely, 2133241300 is an apocalyptic number.

133241300 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 133241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158844000).

133241300 is an abundant number, since it is smaller than the sum of its proper divisors (184446700).

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

133241300 is a wasteful number, since it uses less digits than its factorization.

133241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133241300 is about 11543.0195356328. The cubic root of 133241300 is about 510.7553845215.

Adding to 133241300 its reverse (3142331), we get a palindrome (136383631).

The spelling of 133241300 in words is "one hundred thirty-three million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 3049 4370 6098 8740 10925 12196 15245 21850 30490 43700 57931 60980 70127 76225 115862 140254 152450 231724 280508 289655 304900 350635 579310 701270 1158620 1332413 1402540 1448275 1753175 2664826 2896550 3506350 5329652 5793100 6662065 7012700 13324130 26648260 33310325 66620650 133241300