Search a number
-
+
13271731209 = 3211234912
BaseRepresentation
bin11000101110000111…
…01000110000001001
31021020221002210121100
430113003220300021
5204140030344314
610032535132013
7646612565622
oct142703506011
937227083540
1013271731209
1156a0601100
1226a4814009
1313367827b9
148dc8a0a49
1552a229c09
hex3170e8c09

13271731209 has 27 divisors (see below), whose sum is σ = 21077500717. Its totient is φ = 8041169400.

The previous prime is 13271731189. The next prime is 13271731217. The reversal of 13271731209 is 90213717231.

It is a happy number.

The square root of 13271731209 is 115203.

It is a perfect power (a square), and thus also a powerful number.

13271731209 is a `hidden beast` number, since 1 + 327 + 17 + 312 + 0 + 9 = 666.

It is not a de Polignac number, because 13271731209 - 229 = 12734860297 is a prime.

It is a super-2 number, since 2×132717312092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13271732209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3799954 + ... + 3803444.

Almost surely, 213271731209 is an apocalyptic number.

13271731209 is the 115203-rd square number.

13271731209 is the 57602-nd centered octagonal number.

It is an amenable number.

13271731209 is a deficient number, since it is larger than the sum of its proper divisors (7805769508).

13271731209 is an frugal number, since it uses more digits than its factorization.

13271731209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Multiplying 13271731209 by its sum of digits (36), we get a square (477782323524 = 6912182).

Multiplying 13271731209 by its product of nonzero digits (15876), we get a square (210702004674084 = 145155782).

The spelling of 13271731209 in words is "thirteen billion, two hundred seventy-one million, seven hundred thirty-one thousand, two hundred nine".

Divisors: 1 3 9 11 33 99 121 363 1089 3491 10473 31419 38401 115203 345609 422411 1267233 3801699 12187081 36561243 109683729 134057891 402173673 1206521019 1474636801 4423910403 13271731209