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311331230112 = 2537797581293
BaseRepresentation
bin1001000011111001100…
…10011001000110100000
31002202121012122011021110
410201330302121012200
520100101243330422
6355005032423320
731331035535550
oct4417462310640
91082535564243
10311331230112
111100423aa191
1250408247b40
1323487569bb6
14110d5dd5160
15817237a60c
hex487cc991a0

311331230112 has 96 divisors (see below), whose sum is σ = 935167185792. Its totient is φ = 88840018944.

The previous prime is 311331230033. The next prime is 311331230129. The reversal of 311331230112 is 211032133113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244938 + ... + 826230.

It is an arithmetic number, because the mean of its divisors is an integer number (9741324852).

Almost surely, 2311331230112 is an apocalyptic number.

311331230112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311331230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467583592896).

311331230112 is an abundant number, since it is smaller than the sum of its proper divisors (623835955680).

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

311331230112 is a wasteful number, since it uses less digits than its factorization.

311331230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582110 (or 582102 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311331230112 its reverse (211032133113), we get a palindrome (522363363225).

The spelling of 311331230112 in words is "three hundred eleven billion, three hundred thirty-one million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 797 1594 2391 3188 4782 5579 6376 9564 11158 12752 16737 19128 22316 25504 33474 38256 44632 66948 76512 89264 133896 178528 267792 535584 581293 1162586 1743879 2325172 3487758 4069051 4650344 6975516 8138102 9300688 12207153 13951032 16276204 18601376 24414306 27902064 32552408 48828612 55804128 65104816 97657224 130209632 195314448 390628896 463290521 926581042 1389871563 1853162084 2779743126 3243033647 3706324168 5559486252 6486067294 7412648336 9729100941 11118972504 12972134588 14825296672 19458201882 22237945008 25944269176 38916403764 44475890016 51888538352 77832807528 103777076704 155665615056 311331230112