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13134110003 = 7234779127173
BaseRepresentation
bin11000011101101101…
…01001110100110011
31020220100010220210122
430032312221310303
5203344313010003
610011141320455
7643322043620
oct141666516463
936810126718
1013134110003
11562a954273
12266670612b
1313140c9131
148c84b9347
1551d0e3238
hex30eda9d33

13134110003 has 64 divisors (see below), whose sum is σ = 16420700160. Its totient is φ = 10264205952.

The previous prime is 13134109999. The next prime is 13134110009. The reversal of 13134110003 is 30001143131.

It is not a de Polignac number, because 13134110003 - 22 = 13134109999 is a prime.

It is a super-3 number, since 3×131341100033 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13134110009) 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 63 ways as a sum of consecutive naturals, for example, 75919625 + ... + 75919797.

It is an arithmetic number, because the mean of its divisors is an integer number (256573440).

Almost surely, 213134110003 is an apocalyptic number.

13134110003 is a deficient number, since it is larger than the sum of its proper divisors (3286590157).

13134110003 is a wasteful number, since it uses less digits than its factorization.

13134110003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13134110003 its reverse (30001143131), we get a palindrome (43135253134).

The spelling of 13134110003 in words is "thirteen billion, one hundred thirty-four million, one hundred ten thousand, three".

Divisors: 1 7 23 47 79 127 161 173 329 553 889 1081 1211 1817 2921 3713 3979 5969 7567 8131 10033 12719 13667 20447 21971 25991 27853 41783 56917 70231 85399 95669 137287 153797 187013 230759 314341 471551 505333 597793 642349 961009 1032637 1309091 1615313 1735709 2200387 3300857 3537331 4496443 7228459 10845673 12149963 14774027 23750651 39921307 75919711 81578323 103418189 166254557 279449149 571048261 1876301429 13134110003