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2101208256 = 26337271641
BaseRepresentation
bin111110100111101…
…1110010011000000
312102102210102212000
41331033132103000
513300402131011
6544300104000
7103032655410
oct17517362300
95372712760
102101208256
11989093954
124a7835000
13276421ac4
1415d0c2640
15c4705356
hex7d3de4c0

2101208256 has 224 divisors, whose sum is σ = 7096719360. Its totient is φ = 597196800.

The previous prime is 2101208251. The next prime is 2101208261. The reversal of 2101208256 is 6528021012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101208251) and next prime (2101208261).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×21012082562 = 8830152270165123072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2101208251) 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 31 ways as a sum of consecutive naturals, for example, 3277696 + ... + 3278336.

Almost surely, 22101208256 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 2101208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548359680).

2101208256 is an abundant number, since it is smaller than the sum of its proper divisors (4995511104).

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

2101208256 is a wasteful number, since it uses less digits than its factorization.

2101208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2101208256 is about 45838.9382075981. The cubic root of 2101208256 is about 1280.8247159096.

Adding to 2101208256 its reverse (6528021012), we get a palindrome (8629229268).

The spelling of 2101208256 in words is "two billion, one hundred one million, two hundred eight thousand, two hundred fifty-six".