Search a number
-
+
131111311221 = 32113847344257
BaseRepresentation
bin111101000011011010…
…1111101011101110101
3110112102101001201000200
41322012311331131311
54122003443424341
6140122014231113
712321026520522
oct1720665753565
9415371051020
10131111311221
1150670a0a760
12214b0ab5499
13c4961b5b37
1464bad10149
1536256d0db6
hex1e86d7d775

131111311221 has 24 divisors (see below), whose sum is σ = 206653946304. Its totient is φ = 79440514560.

The previous prime is 131111311189. The next prime is 131111311231. The reversal of 131111311221 is 122113111131.

131111311221 is a `hidden beast` number, since 1 + 311 + 1 + 131 + 1 + 221 = 666.

It is not a de Polignac number, because 131111311221 - 25 = 131111311189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131111311194 and 131111311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111311231) 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, 208725 + ... + 552981.

It is an arithmetic number, because the mean of its divisors is an integer number (8610581096).

Almost surely, 2131111311221 is an apocalyptic number.

131111311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131111311221 is a deficient number, since it is larger than the sum of its proper divisors (75542635083).

131111311221 is a wasteful number, since it uses less digits than its factorization.

131111311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348121 (or 348118 counting only the distinct ones).

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

Adding to 131111311221 its reverse (122113111131), we get a palindrome (253224422352).

The spelling of 131111311221 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 3847 11541 34623 42317 126951 344257 380853 1032771 3098313 3786827 11360481 34081443 1324356679 3973070037 11919210111 14567923469 43703770407 131111311221