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130133221 = 414497069
BaseRepresentation
bin1111100000110…
…10110011100101
3100001212110012221
413300122303211
5231303230341
620525112341
73140054101
oct760326345
9301773187
10130133221
1167503019
12376b86b1
1320c6430a
14133d6901
15b657ed1
hex7c1ace5

130133221 has 8 divisors (see below), whose sum is σ = 133623000. Its totient is φ = 126658560.

The previous prime is 130133207. The next prime is 130133233. The reversal of 130133221 is 122331031.

It can be written as a sum of positive squares in 4 ways, for example, as 1060900 + 129072321 = 1030^2 + 11361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130133221 - 213 = 130125029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130133195 and 130133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14875 + ... + 21943.

It is an arithmetic number, because the mean of its divisors is an integer number (16702875).

Almost surely, 2130133221 is an apocalyptic number.

It is an amenable number.

130133221 is a deficient number, since it is larger than the sum of its proper divisors (3489779).

130133221 is an equidigital number, since it uses as much as digits as its factorization.

130133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 130133221 is about 11407.5948823580. The cubic root of 130133221 is about 506.7526865627.

Adding to 130133221 its reverse (122331031), we get a palindrome (252464252).

The spelling of 130133221 in words is "one hundred thirty million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 41 449 7069 18409 289829 3173981 130133221