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13531035114 = 2321744219069
BaseRepresentation
bin11001001101000001…
…10011010111101010
31021221000000210200200
430212200303113222
5210202421110424
610114401013030
7656211620652
oct144640632752
937830023620
1013531035114
115813a09a53
122757624176
131378401c6c
149250bd362
15542d9a8c9
hex3268335ea

13531035114 has 24 divisors (see below), whose sum is σ = 31041787140. Its totient is φ = 4245030528.

The previous prime is 13531035113. The next prime is 13531035121. The reversal of 13531035114 is 41153013531.

It is a happy number.

13531035114 is a `hidden beast` number, since 13 + 531 + 0 + 3 + 5 + 114 = 666.

13531035114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10634765625 + 2896269489 = 103125^2 + 53817^2 .

It is a super-2 number, since 2×135310351142 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13531035113) 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 11 ways as a sum of consecutive naturals, for example, 22109229 + ... + 22109840.

Almost surely, 213531035114 is an apocalyptic number.

13531035114 is an abundant number, since it is smaller than the sum of its proper divisors (17510752026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13531035114 is a wasteful number, since it uses less digits than its factorization.

13531035114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44219094 (or 44219091 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13531035114 its reverse (41153013531), we get a palindrome (54684048645).

The spelling of 13531035114 in words is "thirteen billion, five hundred thirty-one million, thirty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 44219069 88438138 132657207 265314414 397971621 751724173 795943242 1503448346 2255172519 4510345038 6765517557 13531035114