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1009315107 = 3349737517
BaseRepresentation
bin111100001010001…
…110110100100011
32121100012112001000
4330022032310203
54031341040412
6244053043043
734004015433
oct7412166443
92540175030
101009315107
11478806419
12242026483
1313114c098
14980942c3
155d9214dc
hex3c28ed23

1009315107 has 16 divisors (see below), whose sum is σ = 1495781280. Its totient is φ = 672651936.

The previous prime is 1009315103. The next prime is 1009315121. The reversal of 1009315107 is 7015139001.

It is a happy number.

1009315107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1009315107 - 22 = 1009315103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1009315103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130513 + ... + 138029.

It is an arithmetic number, because the mean of its divisors is an integer number (93486330).

Almost surely, 21009315107 is an apocalyptic number.

1009315107 is a deficient number, since it is larger than the sum of its proper divisors (486466173).

1009315107 is an equidigital number, since it uses as much as digits as its factorization.

1009315107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 1009315107 is about 31769.7199704373. The cubic root of 1009315107 is about 1003.0954440065.

It can be divided in two parts, 10093 and 15107, that added together give a triangular number (25200 = T224).

The spelling of 1009315107 in words is "one billion, nine million, three hundred fifteen thousand, one hundred seven".

Divisors: 1 3 9 27 4973 7517 14919 22551 44757 67653 134271 202959 37382041 112146123 336438369 1009315107