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311441212212 = 2231319359487601
BaseRepresentation
bin1001000100000110101…
…01111100001100110100
31002202212212120211100120
410202003111330030310
520100312422242322
6355024002011540
731333542424224
oct4420325741464
91082785524316
10311441212212
11110099499389
1250439046bb0
13234a4297070
1411106864084
15817bd52a5c
hex488357c334

311441212212 has 192 divisors, whose sum is σ = 829153382400. Its totient is φ = 90195379200.

The previous prime is 311441212169. The next prime is 311441212217. The reversal of 311441212212 is 212212144113.

It is a super-3 number, since 3×3114412122123 (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311441212217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518204712 + ... + 518205312.

It is an arithmetic number, because the mean of its divisors is an integer number (4318507200).

Almost surely, 2311441212212 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 311441212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414576691200).

311441212212 is an abundant number, since it is smaller than the sum of its proper divisors (517712170188).

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

311441212212 is a wasteful number, since it uses less digits than its factorization.

311441212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1484 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 311441212212 its reverse (212212144113), we get a palindrome (523653356325).

The spelling of 311441212212 in words is "three hundred eleven billion, four hundred forty-one million, two hundred twelve thousand, two hundred twelve".