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311300231112 = 2332132913982507
BaseRepresentation
bin1001000011110101111…
…00001000111111001000
31002202112001022020122100
410201322330020333020
520100020324343422
6355002004153400
731330211206503
oct4417274107710
91082461266570
10311300231112
11110026957182
12503b9998860
13234810052b0
14110d1c4613a
15816e7a57ac
hex487af08fc8

311300231112 has 192 divisors, whose sum is σ = 946036728000. Its totient is φ = 91815316992.

The previous prime is 311300231089. The next prime is 311300231119. The reversal of 311300231112 is 211132003113.

311300231112 is a `hidden beast` number, since 311 + 30 + 0 + 2 + 311 + 12 = 666.

It is a super-2 number, since 2×3113002311122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311300231119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731763 + ... + 3814269.

It is an arithmetic number, because the mean of its divisors is an integer number (4927274625).

Almost surely, 2311300231112 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 311300231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473018364000).

311300231112 is an abundant number, since it is smaller than the sum of its proper divisors (634736496888).

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

311300231112 is a wasteful number, since it uses less digits than its factorization.

311300231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82700 (or 82693 counting only the distinct ones).

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

Adding to 311300231112 its reverse (211132003113), we get a palindrome (522432234225).

The spelling of 311300231112 in words is "three hundred eleven billion, three hundred million, two hundred thirty-one thousand, one hundred twelve".