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2122311330 = 232553444929
BaseRepresentation
bin111111001111111…
…1110011010100010
312110220111120211100
41332133332122202
513321302430310
6550332255230
7103410230406
oct17637763242
95426446740
102122311330
11999a97a07
124b2911516
1327a900329
14161c17106
15c64c2ec0
hex7e7fe6a2

2122311330 has 48 divisors (see below), whose sum is σ = 5622135480. Its totient is φ = 555270144.

The previous prime is 2122311307. The next prime is 2122311349. The reversal of 2122311330 is 331132212.

2122311330 is a `hidden beast` number, since 2 + 1 + 22 + 311 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2119773681 + 2537649 = 46041^2 + 1593^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217695 + ... + 227234.

Almost surely, 22122311330 is an apocalyptic number.

2122311330 is an abundant number, since it is smaller than the sum of its proper divisors (3499824150).

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

2122311330 is a wasteful number, since it uses less digits than its factorization.

2122311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444995 (or 444992 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2122311330 is about 46068.5503353427. The cubic root of 2122311330 is about 1285.0983447067.

Adding to 2122311330 its reverse (331132212), we get a palindrome (2453443542).

The spelling of 2122311330 in words is "two billion, one hundred twenty-two million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 444929 889858 1334787 2224645 2669574 4004361 4449290 6673935 8008722 13347870 20021805 23581237 40043610 47162474 70743711 117906185 141487422 212231133 235812370 353718555 424462266 707437110 1061155665 2122311330