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133103520 = 25335112801
BaseRepresentation
bin1111110111011…
…11111110100000
3100021110100201000
413323233332200
5233033303040
621112512000
73204234624
oct773577640
9307410630
10133103520
1169151710
12386ab600
13217642a4
141396b184
15ba43130
hex7eeffa0

133103520 has 192 divisors, whose sum is σ = 508394880. Its totient is φ = 32256000.

The previous prime is 133103459. The next prime is 133103521. The reversal of 133103520 is 25301331.

133103520 is a `hidden beast` number, since 1 + 3 + 310 + 352 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133103493 and 133103502.

It is not an unprimeable number, because it can be changed into a prime (133103521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46120 + ... + 48920.

It is an arithmetic number, because the mean of its divisors is an integer number (2647890).

Almost surely, 2133103520 is an apocalyptic number.

133103520 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 133103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254197440).

133103520 is an abundant number, since it is smaller than the sum of its proper divisors (375291360).

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

133103520 is a wasteful number, since it uses less digits than its factorization.

133103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133103520 is about 11537.0498828773. The cubic root of 133103520 is about 510.5792725924.

Adding to 133103520 its reverse (25301331), we get a palindrome (158404851).

The spelling of 133103520 in words is "one hundred thirty-three million, one hundred three thousand, five hundred twenty".