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311212223130 = 23529439814841
BaseRepresentation
bin1001000011101011011…
…00011010101010011010
31002202021220200222101110
410201311230122222122
520044330312120010
6354545142001150
731325062151454
oct4416554325232
91082256628343
10311212223130
1110aa91206506
12503944161b6
13234689ccc73
14110c42972d4
158166bbe120
hex4875b1aa9a

311212223130 has 64 divisors (see below), whose sum is σ = 774425836800. Its totient is φ = 79945582080.

The previous prime is 311212223117. The next prime is 311212223177. The reversal of 311212223130 is 31322212113.

It is a junction number, because it is equal to n+sod(n) for n = 311212223097 and 311212223106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25491 + ... + 789350.

It is an arithmetic number, because the mean of its divisors is an integer number (12100403700).

Almost surely, 2311212223130 is an apocalyptic number.

311212223130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311212223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387212918400).

311212223130 is an abundant number, since it is smaller than the sum of its proper divisors (463213613670).

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

311212223130 is a wasteful number, since it uses less digits than its factorization.

311212223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815319.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 311212223130 its reverse (31322212113), we get a palindrome (342534435243).

The spelling of 311212223130 in words is "three hundred eleven billion, two hundred twelve million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 439 870 878 1317 2195 2634 4390 6585 12731 13170 25462 38193 63655 76386 127310 190965 381930 814841 1629682 2444523 4074205 4889046 8148410 12222615 23630389 24445230 47260778 70891167 118151945 141782334 236303890 354455835 357715199 708911670 715430398 1073145597 1788575995 2146291194 3577151990 5365727985 10373740771 10731455970 20747481542 31121222313 51868703855 62242444626 103737407710 155606111565 311212223130