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13201120023 = 3713591137253
BaseRepresentation
bin11000100101101100…
…10001101100010111
31021002000020101021020
430102312101230113
5204013441320043
610021533452223
7645064445250
oct142266215427
937060211236
1013201120023
115664762953
122685041073
131324c5ba30
148d335db27
15523e2ce83
hex312d91b17

13201120023 has 64 divisors (see below), whose sum is σ = 22228577280. Its totient is φ = 6783694848.

The previous prime is 13201120001. The next prime is 13201120027. The reversal of 13201120023 is 32002110231.

13201120023 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 13201120023 - 26 = 13201119959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13201119984 and 13201120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201120027) 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, 1816465 + ... + 1823717.

It is an arithmetic number, because the mean of its divisors is an integer number (347321520).

Almost surely, 213201120023 is an apocalyptic number.

13201120023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13201120023 is a deficient number, since it is larger than the sum of its proper divisors (9027457257).

13201120023 is a wasteful number, since it uses less digits than its factorization.

13201120023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13201120023 its reverse (32002110231), we get a palindrome (45203230254).

The spelling of 13201120023 in words is "thirteen billion, two hundred one million, one hundred twenty thousand, twenty-three".

Divisors: 1 3 7 13 21 39 59 91 113 177 273 339 413 767 791 1239 1469 2301 2373 4407 5369 6667 7253 10283 16107 20001 21759 30849 46669 50771 86671 94289 140007 152313 260013 282867 427927 606697 660023 819589 1283781 1820091 1980069 2458767 2995489 5563051 5737123 8986467 10654657 16689153 17211369 31963971 38941357 48355751 74582599 116824071 145067253 223747797 338490257 628624763 1015470771 1885874289 4400373341 13201120023