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32130221 = 1710118713
BaseRepresentation
bin111101010010…
…0010010101101
32020110101101012
41322210102231
531211131341
63104355005
7540050054
oct172442255
966411335
1032130221
1117155a02
12a915a65
13686c786
1443a539b
152c4a0eb
hex1ea44ad

32130221 has 8 divisors (see below), whose sum is σ = 34358904. Its totient is φ = 29939200.

The previous prime is 32130209. The next prime is 32130227. The reversal of 32130221 is 12203123.

32130221 = T460 + T461 + ... + T661.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22458121 + 9672100 = 4739^2 + 3110^2 .

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 32130221 - 210 = 32129197 is a prime.

It is a super-2 number, since 2×321302212 = 2064702203017682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32130196 and 32130205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7640 + ... + 11073.

It is an arithmetic number, because the mean of its divisors is an integer number (4294863).

Almost surely, 232130221 is an apocalyptic number.

It is an amenable number.

32130221 is a deficient number, since it is larger than the sum of its proper divisors (2228683).

32130221 is a wasteful number, since it uses less digits than its factorization.

32130221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18831.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 32130221 is about 5668.3525825411. The cubic root of 32130221 is about 317.9102795289.

Adding to 32130221 its reverse (12203123), we get a palindrome (44333344).

The spelling of 32130221 in words is "thirty-two million, one hundred thirty thousand, two hundred twenty-one".

Divisors: 1 17 101 1717 18713 318121 1890013 32130221