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13685152101 = 353731916173
BaseRepresentation
bin11001011111011001…
…01101100101100101
31022022202000202110020
430233230231211211
5211011344331401
610141544145353
7663062605425
oct145754554545
938282022406
1013685152101
115892a03365
12279b168259
1313a1312a4a
1493b75a485
1555168ed36
hex32fb2d965

13685152101 has 32 divisors (see below), whose sum is σ = 18947561472. Its totient is φ = 8781027840.

The previous prime is 13685152079. The next prime is 13685152109. The reversal of 13685152101 is 10125158631.

It is a happy number.

It is not a de Polignac number, because 13685152101 - 27 = 13685151973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685152109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213851 + ... + 2220023.

It is an arithmetic number, because the mean of its divisors is an integer number (592111296).

Almost surely, 213685152101 is an apocalyptic number.

It is an amenable number.

13685152101 is a deficient number, since it is larger than the sum of its proper divisors (5262409371).

13685152101 is a wasteful number, since it uses less digits than its factorization.

13685152101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493.

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 13685152101 in words is "thirteen billion, six hundred eighty-five million, one hundred fifty-two thousand, one hundred one".

Divisors: 1 3 53 73 159 191 219 573 3869 6173 10123 11607 13943 18519 30369 41829 327169 450629 738979 981507 1179043 1351887 2216937 3537129 23883337 62489279 71650011 86070139 187467837 258210417 4561717367 13685152101