Search a number
-
+
103641471 = 3310193767
BaseRepresentation
bin1100010110101…
…11000101111111
321020000112101000
412023113011333
5203013011341
614141221343
72365636503
oct613270577
9236015330
10103641471
115355940a
122a861853
131861a11b
14da9c303
1591738b6
hex62d717f

103641471 has 16 divisors (see below), whose sum is σ = 153734400. Its totient is φ = 69008184.

The previous prime is 103641467. The next prime is 103641487. The reversal of 103641471 is 174146301.

It is a happy number.

103641471 is a `hidden beast` number, since 10 + 3 + 641 + 4 + 7 + 1 = 666.

It is not a de Polignac number, because 103641471 - 22 = 103641467 is a prime.

It is a super-3 number, since 3×1036414713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103641491) 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 15 ways as a sum of consecutive naturals, for example, 25630 + ... + 29396.

It is an arithmetic number, because the mean of its divisors is an integer number (9608400).

Almost surely, 2103641471 is an apocalyptic number.

103641471 is a deficient number, since it is larger than the sum of its proper divisors (50092929).

103641471 is a wasteful number, since it uses less digits than its factorization.

103641471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103641471 is about 10180.4455207029. The cubic root of 103641471 is about 469.7259168540.

Adding to 103641471 its reverse (174146301), we get a palindrome (277787772).

The spelling of 103641471 in words is "one hundred three million, six hundred forty-one thousand, four hundred seventy-one".

Divisors: 1 3 9 27 1019 3057 3767 9171 11301 27513 33903 101709 3838573 11515719 34547157 103641471