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11130010313 = 174057161377
BaseRepresentation
bin10100101110110011…
…00111101011001001
31001201200002002212012
422113121213223021
5140243240312223
65040230425305
7542545345442
oct122731475311
931650062765
1011130010313
1147a1667534
1221a7502235
131084b47a26
147782742c9
154521c0c78
hex297667ac9

11130010313 has 8 divisors (see below), whose sum is σ = 11787694632. Its totient is φ = 10472656896.

The previous prime is 11130010289. The next prime is 11130010327. The reversal of 11130010313 is 31301003111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6608389264 + 4521621049 = 81292^2 + 67243^2 .

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 11130010313 - 26 = 11130010249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11130010343) 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 7 ways as a sum of consecutive naturals, for example, 11720 + ... + 149657.

It is an arithmetic number, because the mean of its divisors is an integer number (1473461829).

Almost surely, 211130010313 is an apocalyptic number.

It is an amenable number.

11130010313 is a deficient number, since it is larger than the sum of its proper divisors (657684319).

11130010313 is a wasteful number, since it uses less digits than its factorization.

11130010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165451.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11130010313 its reverse (31301003111), we get a palindrome (42431013424).

The spelling of 11130010313 in words is "eleven billion, one hundred thirty million, ten thousand, three hundred thirteen".

Divisors: 1 17 4057 68969 161377 2743409 654706489 11130010313