Search a number
-
+
301112222111131 = 113131149279748809
BaseRepresentation
bin100010001110111000010011…
…1000010010101010110011011
31110111011001021111001221010111
41010131300213002111112123
5303431410312330024011
62544225013432025151
7120265432365436504
oct10435604702252633
91414131244057114
10301112222111131
1187a41a81447502
1229931695b321b7
13cc029b73711c2
14544dca3217bab
1524c2947306121
hex111dc2709559b

301112222111131 has 32 divisors (see below), whose sum is σ = 308266661736000. Its totient is φ = 294070370979840.

The previous prime is 301112222111069. The next prime is 301112222111201. The reversal of 301112222111131 is 131111222211103.

It is a cyclic number.

It is not a de Polignac number, because 301112222111131 - 29 = 301112222110619 is a prime.

It is a super-2 number, since 2×3011122221111312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (301112222111531) 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 31 ways as a sum of consecutive naturals, for example, 6169170255 + ... + 6169219063.

It is an arithmetic number, because the mean of its divisors is an integer number (9633333179250).

Almost surely, 2301112222111131 is an apocalyptic number.

301112222111131 is a deficient number, since it is larger than the sum of its proper divisors (7154439624869).

301112222111131 is a wasteful number, since it uses less digits than its factorization.

301112222111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51999.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 301112222111131 its reverse (131111222211103), we get a palindrome (432223444322234).

The spelling of 301112222111131 in words is "three hundred one trillion, one hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 113 131 149 2797 14803 16837 19519 48809 316061 366407 416753 2205647 5515417 6393979 7272541 41403991 47093089 54594643 136518773 722519627 821797133 952702871 6169194659 15426621349 17883959263 20341297177 107655424423 2020887396719 2298566581001 2664709930187 301112222111131