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4132810100 = 225241328101
BaseRepresentation
bin1111011001010101…
…1010110101110100
3101200000121111122202
43312111122311310
531430444410400
61522032244032
7204262210016
oct36625326564
911600544582
104132810100
111830955441
129740a0618
1350b2b2283
142b2c461b6
15192c5b4d5
hexf655ad74

4132810100 has 18 divisors (see below), whose sum is σ = 8968198134. Its totient is φ = 1653124000.

The previous prime is 4132810093. The next prime is 4132810117. The reversal of 4132810100 is 10182314.

It can be written as a sum of positive squares in 3 ways, for example, as 427166224 + 3705643876 = 20668^2 + 60874^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 20663951 + ... + 20664150.

Almost surely, 24132810100 is an apocalyptic number.

It is an amenable number.

4132810100 is an abundant number, since it is smaller than the sum of its proper divisors (4835388034).

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

4132810100 is a wasteful number, since it uses less digits than its factorization.

4132810100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41328115 (or 41328108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 4132810100 is about 64286.9356868096. The cubic root of 4132810100 is about 1604.7786951074.

Adding to 4132810100 its reverse (10182314), we get a palindrome (4142992414).

The spelling of 4132810100 in words is "four billion, one hundred thirty-two million, eight hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41328101 82656202 165312404 206640505 413281010 826562020 1033202525 2066405050 4132810100