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13653152313 = 383211259867
BaseRepresentation
bin11001011011100101…
…01001001000111001
31022020111210222222220
430231302221020321
5210430201333223
610134442234253
7662223610533
oct145562511071
938214728886
1013653152313
115876937459
1227904b5989
1313977ba768
149373ca853
1554d96d6e3
hex32dca9239

13653152313 has 16 divisors (see below), whose sum is σ = 18510917376. Its totient is φ = 8949785040.

The previous prime is 13653152311. The next prime is 13653152323. The reversal of 13653152313 is 31325135631.

It is a happy number.

13653152313 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 13653152313 - 21 = 13653152311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13653152311) 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, 77395 + ... + 182472.

It is an arithmetic number, because the mean of its divisors is an integer number (1156932336).

Almost surely, 213653152313 is an apocalyptic number.

It is an amenable number.

13653152313 is a deficient number, since it is larger than the sum of its proper divisors (4857765063).

13653152313 is a wasteful number, since it uses less digits than its factorization.

13653152313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260164.

The product of its digits is 24300, while the sum is 33.

Adding to 13653152313 its reverse (31325135631), we get a palindrome (44978287944).

The spelling of 13653152313 in words is "thirteen billion, six hundred fifty-three million, one hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 83 211 249 633 17513 52539 259867 779601 21568961 54831937 64706883 164495811 4551050771 13653152313