Search a number
-
+
13022133111 = 32131011577019
BaseRepresentation
bin11000010000010110…
…11111101101110111
31020121112102220101100
430020023133231313
5203132131224421
65552101301143
7640462206441
oct141013375567
936545386340
1013022133111
115582722389
1226351047b3
1312c6b51010
148b768b491
15513374c26
hex3082dfb77

13022133111 has 48 divisors (see below), whose sum is σ = 20590446240. Its totient is φ = 7882617600.

The previous prime is 13022133109. The next prime is 13022133119. The reversal of 13022133111 is 11133122031.

13022133111 is a `hidden beast` number, since 1 + 302 + 21 + 331 + 11 = 666.

It is not a de Polignac number, because 13022133111 - 21 = 13022133109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022133119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851760 + ... + 1858778.

It is an arithmetic number, because the mean of its divisors is an integer number (428967630).

Almost surely, 213022133111 is an apocalyptic number.

13022133111 is a deficient number, since it is larger than the sum of its proper divisors (7568313129).

13022133111 is a wasteful number, since it uses less digits than its factorization.

13022133111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13022133111 its reverse (11133122031), we get a palindrome (24155255142).

The spelling of 13022133111 in words is "thirteen billion, twenty-two million, one hundred thirty-three thousand, one hundred eleven".

Divisors: 1 3 9 13 39 101 117 157 303 471 909 1313 1413 2041 3939 6123 7019 11817 15857 18369 21057 47571 63171 91247 142713 206141 273741 618423 708919 821223 1101983 1855269 2126757 3305949 6380271 9215947 9917847 14325779 27647841 42977337 82943523 111300283 128932011 333900849 1001702547 1446903679 4340711037 13022133111