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13134030147 = 337237693929
BaseRepresentation
bin11000011101101100…
…10110010101000011
31020220022222212021000
430032312112111003
5203344302431042
610011135503043
7643321262040
oct141666262503
936808885230
1013134030147
11562a8aa277
122666687a83
13131409b994
148c84981c7
1551d0c974c
hex30ed96543

13134030147 has 64 divisors (see below), whose sum is σ = 23240448000. Its totient is φ = 7167688704.

The previous prime is 13134030127. The next prime is 13134030149. The reversal of 13134030147 is 74103043131.

13134030147 is a `hidden beast` number, since 1 + 313 + 4 + 0 + 301 + 47 = 666.

13134030147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13134030147 - 210 = 13134029123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13134030147.

It is not an unprimeable number, because it can be changed into a prime (13134030149) 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 63 ways as a sum of consecutive naturals, for example, 3340879 + ... + 3344807.

It is an arithmetic number, because the mean of its divisors is an integer number (363132000).

Almost surely, 213134030147 is an apocalyptic number.

13134030147 is a deficient number, since it is larger than the sum of its proper divisors (10106417853).

13134030147 is a wasteful number, since it uses less digits than its factorization.

13134030147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 13134030147 its reverse (74103043131), we get a palindrome (87237073278).

The spelling of 13134030147 in words is "thirteen billion, one hundred thirty-four million, thirty thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 769 1449 2307 3929 4347 5383 6921 11787 16149 17687 20763 27503 35361 48447 53061 82509 90367 106083 123809 145341 159183 247527 271101 371427 477549 632569 742581 813303 1114281 1897707 2439909 3021401 3342843 5693121 9064203 17079363 21149807 27192609 63449421 69492223 81577827 190348263 208476669 486445561 571044789 625430007 1459336683 1876290021 4378010049 13134030147