Search a number
-
+
112113311211 = 32112601171299
BaseRepresentation
bin110100001101001111…
…0010101110111101011
3101201101100222022100200
41220122132111313223
53314102001424321
6123300521203243
711046162264426
oct1503236256753
9351340868320
10112113311211
1143602050100
121988a630523
13a759298805
1455d7b369bd
152db28ddd26
hex1a1a795deb

112113311211 has 36 divisors (see below), whose sum is σ = 178298975400. Its totient is φ = 67834008000.

The previous prime is 112113311207. The next prime is 112113311227.

112113311211 is a `hidden beast` number, since 1 + 1 + 211 + 331 + 121 + 1 = 666.

112113311211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112113311211 - 22 = 112113311207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112113311251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 568840 + ... + 740138.

Almost surely, 2112113311211 is an apocalyptic number.

112113311211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112113311211 is a deficient number, since it is larger than the sum of its proper divisors (66185664189).

112113311211 is a wasteful number, since it uses less digits than its factorization.

112113311211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171928 (or 171914 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

It can be divided in two parts, 112113 and 311211, that added together give a palindrome (423324).

The spelling of 112113311211 in words is "one hundred twelve billion, one hundred thirteen million, three hundred eleven thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 121 363 601 1089 1803 5409 6611 19833 59499 72721 171299 218163 513897 654489 1541691 1884289 5652867 16958601 20727179 62181537 102950699 186544611 308852097 926556291 1132457689 3397373067 10192119201 12457034579 37371103737 112113311211