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901106253 = 32100122917
BaseRepresentation
bin110101101101011…
…100101001001101
32022210120221101200
4311231130221031
53321140400003
6225225500113
731221163635
oct6555345115
92283527350
10901106253
11422718513
12211941639
131148c3088
14879676c5
15541996a3
hex35b5ca4d

901106253 has 6 divisors (see below), whose sum is σ = 1301597934. Its totient is φ = 600737496.

The previous prime is 901106203. The next prime is 901106273. The reversal of 901106253 is 352601109.

It can be written as a sum of positive squares in only one way, i.e., 669670884 + 231435369 = 25878^2 + 15213^2 .

It is not a de Polignac number, because 901106253 - 26 = 901106189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901106203) 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 5 ways as a sum of consecutive naturals, for example, 50061450 + ... + 50061467.

It is an arithmetic number, because the mean of its divisors is an integer number (216932989).

Almost surely, 2901106253 is an apocalyptic number.

It is an amenable number.

901106253 is a deficient number, since it is larger than the sum of its proper divisors (400491681).

901106253 is a wasteful number, since it uses less digits than its factorization.

901106253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100122923 (or 100122920 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 901106253 is about 30018.4318877586. The cubic root of 901106253 is about 965.8848061654.

The spelling of 901106253 in words is "nine hundred one million, one hundred six thousand, two hundred fifty-three".

Divisors: 1 3 9 100122917 300368751 901106253