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1031231313 = 32726533581
BaseRepresentation
bin111101011101110…
…101011101010001
32122212102222102100
4331131311131101
54102443400223
6250154511013
734361215200
oct7535653521
92585388370
101031231313
1148a115392
12249435469
13135853758
149ad5b237
1560800043
hex3d775751

1031231313 has 36 divisors (see below), whose sum is σ = 1735887348. Its totient is φ = 588208320.

The previous prime is 1031231309. The next prime is 1031231359. The reversal of 1031231313 is 3131321301.

It is a happy number.

1031231313 is a `hidden beast` number, since 10 + 312 + 31 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 601622784 + 429608529 = 24528^2 + 20727^2 .

It is not a de Polignac number, because 1031231313 - 22 = 1031231309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031231363) 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 35 ways as a sum of consecutive naturals, for example, 286183 + ... + 289763.

It is an arithmetic number, because the mean of its divisors is an integer number (48219093).

Almost surely, 21031231313 is an apocalyptic number.

It is an amenable number.

1031231313 is a deficient number, since it is larger than the sum of its proper divisors (704656035).

1031231313 is a wasteful number, since it uses less digits than its factorization.

1031231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1031231313 is about 32112.7904891493. The cubic root of 1031231313 is about 1010.3039026013.

Adding to 1031231313 its reverse (3131321301), we get a palindrome (4162552614).

The spelling of 1031231313 in words is "one billion, thirty-one million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 653 1959 3581 4571 5877 10743 13713 25067 31997 32229 41139 75201 95991 175469 225603 287973 526407 1579221 2338393 7015179 16368751 21045537 49106253 114581257 147318759 343743771 1031231313