Search a number
-
+
130427221 = 16324909
BaseRepresentation
bin1111100011000…
…10100101010101
3100002102101111211
413301202211111
5231342132341
620535301421
73142420201
oct761424525
9302371454
10130427221
11676939a1
123781a871
1321038092
1413471b01
15b6b5181
hex7c62955

130427221 has 6 divisors (see below), whose sum is σ = 131259030. Its totient is φ = 129600648.

The previous prime is 130427207. The next prime is 130427263. The reversal of 130427221 is 122724031.

It can be written as a sum of positive squares in only one way, i.e., 130188100 + 239121 = 11410^2 + 489^2 .

It is not a de Polignac number, because 130427221 - 27 = 130427093 is a prime.

It is a super-2 number, since 2×1304272212 = 34022519955565682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130427192 and 130427201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130427201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24115 + ... + 29023.

It is an arithmetic number, because the mean of its divisors is an integer number (21876505).

Almost surely, 2130427221 is an apocalyptic number.

130427221 is the 6105-th centered heptagonal number.

It is an amenable number.

130427221 is a deficient number, since it is larger than the sum of its proper divisors (831809).

130427221 is an frugal number, since it uses more digits than its factorization.

130427221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 130427221 is about 11420.4737642534. The cubic root of 130427221 is about 507.1340220186.

The spelling of 130427221 in words is "one hundred thirty million, four hundred twenty-seven thousand, two hundred twenty-one".

Divisors: 1 163 4909 26569 800167 130427221