Search a number
-
+
4130547100 = 225241305471
BaseRepresentation
bin1111011000110011…
…0010010110011100
3101122212100112101221
43312030302112130
531424410001400
61521511543124
7204234033241
oct36614622634
911585315357
104130547100
11182a64a199
1297338aaa4
1350a99c214
142b28175c8
15192960c1a
hexf633259c

4130547100 has 18 divisors (see below), whose sum is σ = 8963287424. Its totient is φ = 1652218800.

The previous prime is 4130547079. The next prime is 4130547121. The reversal of 4130547100 is 17450314.

It is an interprime number because it is at equal distance from previous prime (4130547079) and next prime (4130547121).

It is a super-3 number, since 3×41305471003 (a number of 30 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 (25).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20652636 + ... + 20652835.

Almost surely, 24130547100 is an apocalyptic number.

It is an amenable number.

4130547100 is an abundant number, since it is smaller than the sum of its proper divisors (4832740324).

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

4130547100 is a wasteful number, since it uses less digits than its factorization.

4130547100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41305485 (or 41305478 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 4130547100 is about 64269.3325000346. The cubic root of 4130547100 is about 1604.4857324376.

Adding to 4130547100 its reverse (17450314), we get a palindrome (4147997414).

The spelling of 4130547100 in words is "four billion, one hundred thirty million, five hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41305471 82610942 165221884 206527355 413054710 826109420 1032636775 2065273550 4130547100