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2134717209 = 32154012
BaseRepresentation
bin111111100111101…
…0011001100011001
312111202211212111100
41333033103030121
513332441422314
6551454222013
7103620540222
oct17717231431
95452755440
102134717209
119a5aa06a9
124b6ab4909
13280354ca1
14163726249
15c7623c09
hex7f3d3319

2134717209 has 9 divisors (see below), whose sum is σ = 3083680639. Its totient is φ = 1423052400.

The previous prime is 2134717171. The next prime is 2134717213. The reversal of 2134717209 is 9027174312.

The square root of 2134717209 is 46203.

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

It can be written as a sum of positive squares in only one way, i.e., 2120878809 + 13838400 = 46053^2 + 3720^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2134717209 - 211 = 2134715161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2134717259) 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 8 ways as a sum of consecutive naturals, for example, 130909 + ... + 146309.

Almost surely, 22134717209 is an apocalyptic number.

2134717209 is the 46203-rd square number.

2134717209 is the 23102-nd centered octagonal number.

It is an amenable number.

2134717209 is a deficient number, since it is larger than the sum of its proper divisors (948963430).

2134717209 is an frugal number, since it uses more digits than its factorization.

2134717209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30808 (or 15404 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The cubic root of 2134717209 is about 1287.5974770701.

Multiplying 2134717209 by its sum of digits (36), we get a square (76849819524 = 2772182).

The spelling of 2134717209 in words is "two billion, one hundred thirty-four million, seven hundred seventeen thousand, two hundred nine".

Divisors: 1 3 9 15401 46203 138609 237190801 711572403 2134717209