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15035312133 = 323135337349
BaseRepresentation
bin11100000000010110…
…01010100000000101
31102210211120222211100
432000023022200011
5221243014442013
610523534530313
71041406021152
oct160013124005
942724528740
1015035312133
1164160505a6
122ab7366999
131557c60bca
14a28bb7229
155cee8c473
hex3802ca805

15035312133 has 12 divisors (see below), whose sum is σ = 21787062700. Its totient is φ = 9991515456.

The previous prime is 15035312113. The next prime is 15035312179. The reversal of 15035312133 is 33121353051.

15035312133 is a `hidden beast` number, since 1 + 503 + 5 + 3 + 121 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1215428769 + 13819883364 = 34863^2 + 117558^2 .

It is not a de Polignac number, because 15035312133 - 26 = 15035312069 is a prime.

It is a super-2 number, since 2×150353121332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15035312097 and 15035312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15035312113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2665858 + ... + 2671491.

Almost surely, 215035312133 is an apocalyptic number.

It is an amenable number.

15035312133 is a deficient number, since it is larger than the sum of its proper divisors (6751750567).

15035312133 is a wasteful number, since it uses less digits than its factorization.

15035312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337668 (or 5337665 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 15035312133 its reverse (33121353051), we get a palindrome (48156665184).

The spelling of 15035312133 in words is "fifteen billion, thirty-five million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 313 939 2817 5337349 16012047 48036141 1670590237 5011770711 15035312133