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2101243248 = 2433132171693
BaseRepresentation
bin111110100111110…
…0110110101110000
312102102212012212000
41331033212311300
513300404240443
6544300534000
7103033162416
oct17517466560
95372765760
102101243248
11989108175
124a7851300
13276434a00
1415d0d12b6
15c47108d3
hex7d3e6d70

2101243248 has 240 divisors, whose sum is σ = 6919244640. Its totient is φ = 608145408.

The previous prime is 2101243229. The next prime is 2101243259. The reversal of 2101243248 is 8423421012.

2101243248 is a `hidden beast` number, since 210 + 12 + 432 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240290 + ... + 1241982.

It is an arithmetic number, because the mean of its divisors is an integer number (28830186).

Almost surely, 22101243248 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 2101243248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459622320).

2101243248 is an abundant number, since it is smaller than the sum of its proper divisors (4818001392).

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

2101243248 is a wasteful number, since it uses less digits than its factorization.

2101243248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2101243248 is about 45839.3198902427. The cubic root of 2101243248 is about 1280.8318258457.

The spelling of 2101243248 in words is "two billion, one hundred one million, two hundred forty-three thousand, two hundred forty-eight".