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133114050 = 23352151653
BaseRepresentation
bin1111110111100…
…10100011000010
3100021110220011000
413323302203002
5233034122200
621113032430
73204310416
oct773624302
9307426130
10133114050
1169159613
12386b5716
1321769014
1413970d46
15ba46300
hex7ef28c2

133114050 has 96 divisors (see below), whose sum is σ = 369797760. Its totient is φ = 35208000.

The previous prime is 133114043. The next prime is 133114073. The reversal of 133114050 is 50411331.

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

It is a Curzon 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, 203524 + ... + 204176.

It is an arithmetic number, because the mean of its divisors is an integer number (3852060).

Almost surely, 2133114050 is an apocalyptic number.

133114050 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 133114050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184898880).

133114050 is an abundant number, since it is smaller than the sum of its proper divisors (236683710).

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

133114050 is a wasteful number, since it uses less digits than its factorization.

133114050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133114050 is about 11537.5062296841. The cubic root of 133114050 is about 510.5927364436.

Adding to 133114050 its reverse (50411331), we get a palindrome (183525381).

The spelling of 133114050 in words is "one hundred thirty-three million, one hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 151 225 270 302 450 453 653 675 755 906 1306 1350 1359 1510 1959 2265 2718 3265 3775 3918 4077 4530 5877 6530 6795 7550 8154 9795 11325 11754 13590 16325 17631 19590 20385 22650 29385 32650 33975 35262 40770 48975 58770 67950 88155 97950 98603 101925 146925 176310 197206 203850 293850 295809 440775 493015 591618 881550 887427 986030 1479045 1774854 2465075 2662281 2958090 4437135 4930150 5324562 7395225 8874270 13311405 14790450 22185675 26622810 44371350 66557025 133114050