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2010522112 = 2931197643
BaseRepresentation
bin111011111010110…
…0010001000000000
312012010011002211221
41313311202020000
513104143201422
6531300244424
7100552104334
oct16765421000
95163132757
102010522112
11941984025
124813a0714
132606bc771
141510377c4
15bb7903c7
hex77d62200

2010522112 has 80 divisors (see below), whose sum is σ = 4174232832. Its totient is φ = 966389760.

The previous prime is 2010522089. The next prime is 2010522139. The reversal of 2010522112 is 2112250102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126463 + ... + 3127105.

Almost surely, 22010522112 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 2010522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087116416).

2010522112 is an abundant number, since it is smaller than the sum of its proper divisors (2163710720).

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

2010522112 is an equidigital number, since it uses as much as digits as its factorization.

2010522112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2010522112 is about 44838.8460154808. The cubic root of 2010522112 is about 1262.1266914703.

Adding to 2010522112 its reverse (2112250102), we get a palindrome (4122772214).

The spelling of 2010522112 in words is "two billion, ten million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 197 248 256 394 496 512 643 788 992 1286 1576 1984 2572 3152 3968 5144 6107 6304 7936 10288 12214 12608 15872 19933 20576 24428 25216 39866 41152 48856 50432 79732 82304 97712 100864 126671 159464 164608 195424 253342 318928 329216 390848 506684 637856 781696 1013368 1275712 1563392 2026736 2551424 3126784 3926801 4053472 5102848 7853602 8106944 10205696 15707204 16213888 31414408 32427776 62828816 64855552 125657632 251315264 502630528 1005261056 2010522112