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2112753820 = 225293642679
BaseRepresentation
bin111110111101110…
…0001000010011100
312110020112000101111
41331323201002130
513311331110240
6545351351404
7103233053062
oct17573410234
95406460344
102112753820
1199465a241
124ab682564
13278934cb8
1416084a032
15c57361ea
hex7dee109c

2112753820 has 24 divisors (see below), whose sum is σ = 4589776800. Its totient is φ = 815959872.

The previous prime is 2112753817. The next prime is 2112753869. The reversal of 2112753820 is 283572112.

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, 1820760 + ... + 1821919.

It is an arithmetic number, because the mean of its divisors is an integer number (191240700).

Almost surely, 22112753820 is an apocalyptic number.

2112753820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112753820 is an abundant number, since it is smaller than the sum of its proper divisors (2477022980).

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

2112753820 is a wasteful number, since it uses less digits than its factorization.

2112753820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642717 (or 3642715 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2112753820 is about 45964.7018917778. The cubic root of 2112753820 is about 1283.1663592659.

It can be divided in two parts, 21127 and 53820, that added together give a palindrome (74947).

The spelling of 2112753820 in words is "two billion, one hundred twelve million, seven hundred fifty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3642679 7285358 14570716 18213395 36426790 72853580 105637691 211275382 422550764 528188455 1056376910 2112753820