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2101112256 = 26319356701
BaseRepresentation
bin111110100111100…
…0110110111000000
312102102121120011110
41331033012313000
513300341043011
6544254043320
7103032105465
oct17517066700
95372546143
102101112256
11989028811
124a77a9540
132763ba1b9
1415d09966c
15c46d6ba6
hex7d3c6dc0

2101112256 has 56 divisors (see below), whose sum is σ = 5588095504. Its totient is φ = 696729600.

The previous prime is 2101112239. The next prime is 2101112287. The reversal of 2101112256 is 6522111012.

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, 8706 + ... + 65406.

Almost surely, 22101112256 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 2101112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794047752).

2101112256 is an abundant number, since it is smaller than the sum of its proper divisors (3486983248).

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

2101112256 is a wasteful number, since it uses less digits than its factorization.

2101112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56909 (or 56899 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 2101112256 is about 45837.8910509635. The cubic root of 2101112256 is about 1280.8052095065.

Adding to 2101112256 its reverse (6522111012), we get a palindrome (8623223268).

The spelling of 2101112256 in words is "two billion, one hundred one million, one hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 37056 56701 113402 170103 226804 340206 453608 680412 907216 1360824 1814432 2721648 3628864 5443296 10886592 10943293 21886586 32829879 43773172 65659758 87546344 131319516 175092688 262639032 350185376 525278064 700370752 1050556128 2101112256