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311113424241 = 32314192661341
BaseRepresentation
bin1001000011011111100…
…11100001110101110001
31002202001000210110210100
410201233303201311301
520044130014033431
6354531252223013
731322452321164
oct4415763416561
91082030713710
10311113424241
1110aa40465434
125036730aa69
13234513ba099
14110b50d9adb
15815d1a54e6
hex486fce1d71

311113424241 has 24 divisors (see below), whose sum is σ = 464989674240. Its totient is φ = 200239221600.

The previous prime is 311113424227. The next prime is 311113424243. The reversal of 311113424241 is 142424311113.

It is a happy number.

311113424241 is a `hidden beast` number, since 311 + 1 + 1 + 342 + 4 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 311113424241 - 233 = 302523489649 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311113424243) 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, 1213770 + ... + 1447571.

It is an arithmetic number, because the mean of its divisors is an integer number (19374569760).

Almost surely, 2311113424241 is an apocalyptic number.

311113424241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

311113424241 is a deficient number, since it is larger than the sum of its proper divisors (153876249999).

311113424241 is a wasteful number, since it uses less digits than its factorization.

311113424241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661797 (or 2661794 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 311113424241 its reverse (142424311113), we get a palindrome (453537735354).

The spelling of 311113424241 in words is "three hundred eleven billion, one hundred thirteen million, four hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 9 31 93 279 419 1257 3771 12989 38967 116901 2661341 7984023 23952069 82501571 247504713 742514139 1115101879 3345305637 10035916911 34568158249 103704474747 311113424241