Search a number
-
+
133031353200 = 243524312911997
BaseRepresentation
bin111101111100101001…
…0010101101101110000
3110201101011221221110120
41323321102111231300
54134422011300300
6141040323330240
712416432562534
oct1737122255560
9421334857416
10133031353200
1151466804709
1221947b20980
13c710c15c55
14661dd13bc4
1536d904c3a0
hex1ef9495b70

133031353200 has 240 divisors, whose sum is σ = 436610376576. Its totient is φ = 34605849600.

The previous prime is 133031353193. The next prime is 133031353219. The reversal of 133031353200 is 2353130331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66614602 + ... + 66616598.

Almost surely, 2133031353200 is an apocalyptic number.

133031353200 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 133031353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218305188288).

133031353200 is an abundant number, since it is smaller than the sum of its proper divisors (303579023376).

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

133031353200 is a wasteful number, since it uses less digits than its factorization.

133031353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

Adding to 133031353200 its reverse (2353130331), we get a palindrome (135384483531).

The spelling of 133031353200 in words is "one hundred thirty-three billion, thirty-one million, three hundred fifty-three thousand, two hundred".