Search a number
-
+
345203602913 = 13175737272269
BaseRepresentation
bin1010000010111111011…
…11001111010111100001
31020000000211110222111102
411001133233033113201
521123434110243123
6422330115124145
733640316132201
oct5013757172741
91200024428442
10345203602913
11123444486214
1256a9bba3655
1326724c88c40
14129ca850401
158ea5e19028
hex505fbcf5e1

345203602913 has 16 divisors (see below), whose sum is σ = 393695885520. Its totient is φ = 299852015616.

The previous prime is 345203602889. The next prime is 345203603009. The reversal of 345203602913 is 319206302543.

It can be written as a sum of positive squares in 8 ways, for example, as 155619993169 + 189583609744 = 394487^2 + 435412^2 .

It is a cyclic number.

It is not a de Polignac number, because 345203602913 - 226 = 345136494049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345203604913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131743 + ... + 1404011.

It is an arithmetic number, because the mean of its divisors is an integer number (24605992845).

Almost surely, 2345203602913 is an apocalyptic number.

It is an amenable number.

345203602913 is a deficient number, since it is larger than the sum of its proper divisors (48492282607).

345203602913 is a wasteful number, since it uses less digits than its factorization.

345203602913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278036.

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 345203602913 in words is "three hundred forty-five billion, two hundred three million, six hundred two thousand, nine hundred thirteen".

Divisors: 1 13 17 221 5737 74581 97529 272269 1267877 3539497 4628573 60171449 1562007253 20306094289 26554123301 345203602913