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901305133 = 17509104161
BaseRepresentation
bin110101101110001…
…101001100101101
32022210222001012121
4311232031030231
53321213231013
6225234032541
731222652521
oct6556151455
92283861177
10901305133
11422843983
12211a18751
13114962761
14879b9d81
15541d858d
hex35b8d32d

901305133 has 8 divisors (see below), whose sum is σ = 956207160. Its totient is φ = 846612480.

The previous prime is 901305131. The next prime is 901305151. The reversal of 901305133 is 331503109.

It can be written as a sum of positive squares in 4 ways, for example, as 396089604 + 505215529 = 19902^2 + 22477^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 901305133 - 21 = 901305131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 901305098 and 901305107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901305131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43428 + ... + 60733.

It is an arithmetic number, because the mean of its divisors is an integer number (119525895).

Almost surely, 2901305133 is an apocalyptic number.

It is an amenable number.

901305133 is a deficient number, since it is larger than the sum of its proper divisors (54902027).

901305133 is a wasteful number, since it uses less digits than its factorization.

901305133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104687.

The product of its (nonzero) digits is 1215, while the sum is 25.

The square root of 901305133 is about 30021.7443363972. The cubic root of 901305133 is about 965.9558599540.

The spelling of 901305133 in words is "nine hundred one million, three hundred five thousand, one hundred thirty-three".

Divisors: 1 17 509 8653 104161 1770737 53017949 901305133