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2112231120 = 24358800963
BaseRepresentation
bin111110111100110…
…0001011011010000
312110012112110101020
41331321201123100
513311212343440
6545332235440
7103225445136
oct17571413320
95405473336
102112231120
1199433255a
124ab46bb80
132787b10cc
14160751756
15c56813d0
hex7de616d0

2112231120 has 40 divisors (see below), whose sum is σ = 6547917216. Its totient is φ = 563261568.

The previous prime is 2112231119. The next prime is 2112231133. The reversal of 2112231120 is 211322112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112231120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4400242 + ... + 4400721.

Almost surely, 22112231120 is an apocalyptic number.

2112231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112231120 is an abundant number, since it is smaller than the sum of its proper divisors (4435686096).

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

2112231120 is a wasteful number, since it uses less digits than its factorization.

2112231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800979 (or 8800973 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2112231120 is about 45959.0156552553. The cubic root of 2112231120 is about 1283.0605311331.

Adding to 2112231120 its reverse (211322112), we get a palindrome (2323553232).

The spelling of 2112231120 in words is "two billion, one hundred twelve million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8800963 17601926 26402889 35203852 44004815 52805778 70407704 88009630 105611556 132014445 140815408 176019260 211223112 264028890 352038520 422446224 528057780 704077040 1056115560 2112231120