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4132100221 = 19211446261
BaseRepresentation
bin1111011001001010…
…1101100001111101
3101122222021102212221
43312102231201331
531430304201341
61522005125341
7204253162264
oct36622554175
911588242787
104132100221
111830510067
129739b9851
1350b0c4122
142b2add5db
15192b6aed1
hexf64ad87d

4132100221 has 6 divisors (see below), whose sum is σ = 4361025822. Its totient is φ = 3914620920.

The previous prime is 4132100209. The next prime is 4132100243. The reversal of 4132100221 is 1220012314.

It can be written as a sum of positive squares in only one way, i.e., 4097408121 + 34692100 = 64011^2 + 5890^2 .

It is not a de Polignac number, because 4132100221 - 231 = 1984616573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4132100195 and 4132100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132100251) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5722770 + ... + 5723491.

It is an arithmetic number, because the mean of its divisors is an integer number (726837637).

Almost surely, 24132100221 is an apocalyptic number.

It is an amenable number.

4132100221 is a deficient number, since it is larger than the sum of its proper divisors (228925601).

4132100221 is a wasteful number, since it uses less digits than its factorization.

4132100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446299 (or 11446280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4132100221 is about 64281.4142734897. The cubic root of 4132100221 is about 1604.6868073523.

Adding to 4132100221 its reverse (1220012314), we get a palindrome (5352112535).

The spelling of 4132100221 in words is "four billion, one hundred thirty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 19 361 11446261 217478959 4132100221