Search a number
-
+
11211105269 = 713224139323
BaseRepresentation
bin10100111000011101…
…11110001111110101
31001221022200011020002
422130032332033311
5140430020332034
65052244521045
7544551552050
oct123416761765
931838604202
1011211105269
114833416361
12220a6b0185
13109889c600
14784d43a97
1545938de7e
hex29c3be3f5

11211105269 has 24 divisors (see below), whose sum is σ = 13932021312. Its totient is φ = 8833294080.

The previous prime is 11211105253. The next prime is 11211105299. The reversal of 11211105269 is 96250111211.

It is not a de Polignac number, because 11211105269 - 24 = 11211105253 is a prime.

It is a super-3 number, since 3×112111052693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211105229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265442 + ... + 304764.

It is an arithmetic number, because the mean of its divisors is an integer number (580500888).

Almost surely, 211211105269 is an apocalyptic number.

It is an amenable number.

11211105269 is a deficient number, since it is larger than the sum of its proper divisors (2720916043).

11211105269 is a wasteful number, since it uses less digits than its factorization.

11211105269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39597 (or 39584 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 11211105269 in words is "eleven billion, two hundred eleven million, one hundred five thousand, two hundred sixty-nine".

Divisors: 1 7 13 91 169 241 1183 1687 3133 21931 39323 40729 275261 285103 511199 3578393 6645587 9476843 46519109 66337901 123198959 862392713 1601586467 11211105269