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130400221 = 728332063
BaseRepresentation
bin1111100010110…
…11111111011101
3100002101000110211
413301123333131
5231340301341
620534532421
73142245400
oct761337735
9302330424
10130400221
1167675686
1237807111
13210289c3
1413465d37
15b6ac181
hex7c5bfdd

130400221 has 12 divisors (see below), whose sum is σ = 153522432. Its totient is φ = 110421528.

The previous prime is 130400203. The next prime is 130400261. The reversal of 130400221 is 122004031.

It is not a de Polignac number, because 130400221 - 25 = 130400189 is a prime.

It is a super-3 number, since 3×1304002213 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130400261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11965 + ... + 20098.

It is an arithmetic number, because the mean of its divisors is an integer number (12793536).

Almost surely, 2130400221 is an apocalyptic number.

It is an amenable number.

130400221 is a deficient number, since it is larger than the sum of its proper divisors (23122211).

130400221 is an equidigital number, since it uses as much as digits as its factorization.

130400221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32160 (or 32153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130400221 is about 11419.2916155075. The cubic root of 130400221 is about 507.0990253273.

Adding to 130400221 its reverse (122004031), we get a palindrome (252404252).

The spelling of 130400221 in words is "one hundred thirty million, four hundred thousand, two hundred twenty-one".

Divisors: 1 7 49 83 581 4067 32063 224441 1571087 2661229 18628603 130400221