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2100240001 = 29667310853
BaseRepresentation
bin111110100101111…
…0001111010000001
312102100222020122201
41331023301322001
513300130140001
6544223233201
7103021513456
oct17513617201
95370866581
102100240001
11988592442
124a7448801
13276173182
1415cd0d82d
15c45b3501
hex7d2f1e81

2100240001 has 8 divisors (see below), whose sum is σ = 2173187880. Its totient is φ = 2027327232.

The previous prime is 2100239923. The next prime is 2100240007. The reversal of 2100240001 is 1000420012.

It can be written as a sum of positive squares in 4 ways, for example, as 33628401 + 2066611600 = 5799^2 + 45460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100240001 is a prime.

It is a super-2 number, since 2×21002400012 = 8822016123600960002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100240001.

It is not an unprimeable number, because it can be changed into a prime (2100240007) 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 7 ways as a sum of consecutive naturals, for example, 188091 + ... + 198943.

It is an arithmetic number, because the mean of its divisors is an integer number (271648485).

Almost surely, 22100240001 is an apocalyptic number.

It is an amenable number.

2100240001 is a deficient number, since it is larger than the sum of its proper divisors (72947879).

2100240001 is a wasteful number, since it uses less digits than its factorization.

2100240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17555.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2100240001 is about 45828.3755003382. The cubic root of 2100240001 is about 1280.6279473006.

Adding to 2100240001 its reverse (1000420012), we get a palindrome (3100660013).

The spelling of 2100240001 in words is "two billion, one hundred million, two hundred forty thousand, one".

Divisors: 1 29 6673 10853 193517 314737 72422069 2100240001