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2311210112 = 27176411657
BaseRepresentation
bin1000100111000010…
…0100010010000000
312222001221122020112
42021300210102000
514213132210422
61021201130452
7111162650621
oct21160442200
95861848215
102311210112
11a86688402
12546029a28
132aaa9b763
1417cd49a48
15d7d87ee2
hex89c24480

2311210112 has 64 divisors (see below), whose sum is σ = 4885761240. Its totient is φ = 1085276160.

The previous prime is 2311210081. The next prime is 2311210123. The reversal of 2311210112 is 2110121132.

It can be written as a sum of positive squares in 4 ways, for example, as 2286369856 + 24840256 = 47816^2 + 4984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23112101122 = 10683384363622105088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1393988 + ... + 1395644.

Almost surely, 22311210112 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 2311210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442880620).

2311210112 is an abundant number, since it is smaller than the sum of its proper divisors (2574551128).

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

2311210112 is a wasteful number, since it uses less digits than its factorization.

2311210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2311210112 is about 48075.0466666440. The cubic root of 2311210112 is about 1322.1472001540.

Adding to 2311210112 its reverse (2110121132), we get a palindrome (4421331244).

The spelling of 2311210112 in words is "two billion, three hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 641 1088 1282 1657 2176 2564 3314 5128 6628 10256 10897 13256 20512 21794 26512 28169 41024 43588 53024 56338 82048 87176 106048 112676 174352 212096 225352 348704 450704 697408 901408 1062137 1394816 1802816 2124274 3605632 4248548 8497096 16994192 18056329 33988384 36112658 67976768 72225316 135953536 144450632 288901264 577802528 1155605056 2311210112