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1009110089 = 131753101853
BaseRepresentation
bin111100001001011…
…100110001001001
32121022211002210202
4330021130301021
54031313010324
6244044421545
734002202631
oct7411346111
92538732722
101009110089
11478686389
12241b478b5
131310a9980
149803d6c1
155d8d08ae
hex3c25cc49

1009110089 has 32 divisors (see below), whose sum is σ = 1185365664. Its totient is φ = 850636800.

The previous prime is 1009110043. The next prime is 1009110127. The reversal of 1009110089 is 9800119001.

It can be written as a sum of positive squares in 16 ways, for example, as 90535225 + 918574864 = 9515^2 + 30308^2 .

It is not a de Polignac number, because 1009110089 - 28 = 1009109833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009110589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182587 + ... + 1183439.

It is an arithmetic number, because the mean of its divisors is an integer number (37042677).

Almost surely, 21009110089 is an apocalyptic number.

It is an amenable number.

1009110089 is a deficient number, since it is larger than the sum of its proper divisors (176255575).

1009110089 is a wasteful number, since it uses less digits than its factorization.

1009110089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037.

The product of its (nonzero) digits is 648, while the sum is 29.

The square root of 1009110089 is about 31766.4931807085. The cubic root of 1009110089 is about 1003.0275211988.

The spelling of 1009110089 in words is "one billion, nine million, one hundred ten thousand, eighty-nine".

Divisors: 1 13 17 53 101 221 689 853 901 1313 1717 5353 11089 11713 14501 22321 45209 69589 86153 91001 188513 587717 768553 1119989 1183013 1464601 4566109 9991189 19039813 59359417 77623853 1009110089