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2101222112 = 251121274273
BaseRepresentation
bin111110100111110…
…0001101011100000
312102102211010212012
41331033201223200
513300403101422
6544300252052
7103033043663
oct17517415340
95372733765
102101222112
119890a3300
124a7841028
132764281c2
1415d0c76da
15c47094e2
hex7d3e1ae0

2101222112 has 72 divisors (see below), whose sum is σ = 4583916288. Its totient is φ = 947358720.

The previous prime is 2101222111. The next prime is 2101222121. The reversal of 2101222112 is 2112221012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101222111) 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, 489608 + ... + 493880.

It is an arithmetic number, because the mean of its divisors is an integer number (63665504).

Almost surely, 22101222112 is an apocalyptic number.

2101222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291958144).

2101222112 is an abundant number, since it is smaller than the sum of its proper divisors (2482694176).

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

2101222112 is a wasteful number, since it uses less digits than its factorization.

2101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2101222112 is about 45839.0893452302. The cubic root of 2101222112 is about 1280.8275312847.

Adding to 2101222112 its reverse (2112221012), we get a palindrome (4213443124).

The spelling of 2101222112 in words is "two billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 127 176 242 254 352 484 508 968 1016 1397 1936 2032 2794 3872 4064 4273 5588 8546 11176 15367 17092 22352 30734 34184 44704 47003 61468 68368 94006 122936 136736 188012 245872 376024 491744 517033 542671 752048 1034066 1085342 1504096 2068132 2170684 4136264 4341368 5969381 8272528 8682736 11938762 16545056 17365472 23877524 47755048 65663191 95510096 131326382 191020192 262652764 525305528 1050611056 2101222112