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10330113131 = 136733135831
BaseRepresentation
bin10011001111011100…
…10000010001101011
3222122220221010012122
421213232100101223
5132124002110011
64425014101455
7513663340622
oct114756202153
928586833178
1010330113131
114421096988
12200364a88b
13c881cc8a0
146ddd346b9
15406d693db
hex267b9046b

10330113131 has 16 divisors (see below), whose sum is σ = 11325205248. Its totient is φ = 9364528800.

The previous prime is 10330113109. The next prime is 10330113149. The reversal of 10330113131 is 13131103301.

10330113131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10330113131 - 214 = 10330096747 is a prime.

It is a super-2 number, since 2×103301131312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10330113161) 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 15 ways as a sum of consecutive naturals, for example, 270386 + ... + 306216.

It is an arithmetic number, because the mean of its divisors is an integer number (707825328).

Almost surely, 210330113131 is an apocalyptic number.

10330113131 is a deficient number, since it is larger than the sum of its proper divisors (995092117).

10330113131 is a wasteful number, since it uses less digits than its factorization.

10330113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36242.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10330113131 its reverse (13131103301), we get a palindrome (23461216432).

The spelling of 10330113131 in words is "ten billion, three hundred thirty million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 13 67 331 871 4303 22177 35831 288301 465803 2400677 11860061 31208801 154180793 794624087 10330113131