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2123213112 = 2332101291971
BaseRepresentation
bin111111010001101…
…1010100100111000
312110222012101211200
41332203122210320
513322020304422
6550403454200
7103421004456
oct17643324470
95428171750
102123213112
1199a553489
124b3087360
1327ab57927
14161dad9d6
15c66002ac
hex7e8da938

2123213112 has 48 divisors (see below), whose sum is σ = 5807323080. Its totient is φ = 700728000.

The previous prime is 2123213111. The next prime is 2123213137. The reversal of 2123213112 is 2113123212.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123213111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138714 + ... + 153257.

Almost surely, 22123213112 is an apocalyptic number.

It is an amenable number.

2123213112 is an abundant number, since it is smaller than the sum of its proper divisors (3684109968).

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

2123213112 is a wasteful number, since it uses less digits than its factorization.

2123213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292084 (or 292077 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2123213112 is about 46078.3366887304. The cubic root of 2123213112 is about 1285.2803341003.

Adding to 2123213112 its reverse (2113123212), we get a palindrome (4236336324).

The spelling of 2123213112 in words is "two billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 291971 583942 875913 1167884 1751826 2335768 2627739 3503652 5255478 7007304 10510956 21021912 29489071 58978142 88467213 117956284 176934426 235912568 265401639 353868852 530803278 707737704 1061606556 2123213112