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130404105 = 32513222913
BaseRepresentation
bin1111100010111…
…00111100001001
3100002101012210200
413301130330021
5231340412410
620535002413
73142262616
oct761347411
9302335720
10130404105
1167678597
1237809409
132102a6c0
141346750d
15b6ad3c0
hex7c5cf09

130404105 has 24 divisors (see below), whose sum is σ = 243422088. Its totient is φ = 64198656.

The previous prime is 130404091. The next prime is 130404107. The reversal of 130404105 is 501404031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 125686521 = 2172^2 + 11211^2 .

It is not a de Polignac number, because 130404105 - 26 = 130404041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130404107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110872 + ... + 112041.

It is an arithmetic number, because the mean of its divisors is an integer number (10142587).

Almost surely, 2130404105 is an apocalyptic number.

130404105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130404105 is a deficient number, since it is larger than the sum of its proper divisors (113017983).

130404105 is a wasteful number, since it uses less digits than its factorization.

130404105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222937 (or 222934 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130404105 is about 11419.4616773296. The cubic root of 130404105 is about 507.1040599636.

Adding to 130404105 its reverse (501404031), we get a palindrome (631808136).

The spelling of 130404105 in words is "one hundred thirty million, four hundred four thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 222913 668739 1114565 2006217 2897869 3343695 8693607 10031085 14489345 26080821 43468035 130404105