Search a number
-
+
311330131112 = 2371113412713499
BaseRepresentation
bin1001000011111001011…
…10001100110010101000
31002202121010120022201202
410201330232030302220
520100101003143422
6355004553103332
731331023310510
oct4417456146250
91082533508652
10311330131112
11110041819520
12504079b7b48
13234872738c0
14110d5bca840
15817220eb92
hex487cb8cca8

311330131112 has 256 divisors, whose sum is σ = 806077440000. Its totient is φ = 108801792000.

The previous prime is 311330131081. The next prime is 311330131117. The reversal of 311330131112 is 211131033113.

It is a super-2 number, since 2×3113301311122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311330131117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88975139 + ... + 88978637.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740000).

Almost surely, 2311330131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311330131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403038720000).

311330131112 is an abundant number, since it is smaller than the sum of its proper divisors (494747308888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311330131112 is a wasteful number, since it uses less digits than its factorization.

311330131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 311330131112 its reverse (211131033113), we get a palindrome (522461164225).

It can be divided in two parts, 3113301 and 31112, that added together give a palindrome (3144413).

The spelling of 311330131112 in words is "three hundred eleven billion, three hundred thirty million, one hundred thirty-one thousand, one hundred twelve".