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2102212001 = 29277261697
BaseRepresentation
bin111110101001101…
…0011010110100001
312102111200102201202
41331103103112201
513301131241001
6544333410545
7103044335651
oct17523232641
95374612652
102102212001
11989709a9a
124a8039a55
132766b3936
1415d2a4361
15c485296b
hex7d4d35a1

2102212001 has 8 divisors (see below), whose sum is σ = 2182561320. Its totient is φ = 2022386688.

The previous prime is 2102211997. The next prime is 2102212009. The reversal of 2102212001 is 1002122012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 616032400 + 1486179601 = 24820^2 + 38551^2 .

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

It is not a de Polignac number, because 2102212001 - 22 = 2102211997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102212009) 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, 122816 + ... + 138881.

It is an arithmetic number, because the mean of its divisors is an integer number (272820165).

Almost surely, 22102212001 is an apocalyptic number.

It is an amenable number.

2102212001 is a deficient number, since it is larger than the sum of its proper divisors (80349319).

2102212001 is a wasteful number, since it uses less digits than its factorization.

2102212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262003.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2102212001 is about 45849.8855069454. The cubic root of 2102212001 is about 1281.0286329879.

Adding to 2102212001 its reverse (1002122012), we get a palindrome (3104334013).

The spelling of 2102212001 in words is "two billion, one hundred two million, two hundred twelve thousand, one".

Divisors: 1 29 277 8033 261697 7589213 72490069 2102212001