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1300013221 = 13353283289
BaseRepresentation
bin100110101111100…
…1010000010100101
310100121012111212211
41031133022002211
510130300410341
6332555443421
744133634003
oct11537120245
93317174784
101300013221
116079071a1
12303456571
13179440cc0
14c4925a73
15791e4181
hex4d7ca0a5

1300013221 has 8 divisors (see below), whose sum is σ = 1403985240. Its totient is φ = 1196608512.

The previous prime is 1300013219. The next prime is 1300013227. The reversal of 1300013221 is 1223100031.

It can be written as a sum of positive squares in 4 ways, for example, as 1852321 + 1298160900 = 1361^2 + 36030^2 .

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 1300013221 - 21 = 1300013219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300013227) 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, 137056 + ... + 146233.

It is an arithmetic number, because the mean of its divisors is an integer number (175498155).

Almost surely, 21300013221 is an apocalyptic number.

It is an amenable number.

1300013221 is a deficient number, since it is larger than the sum of its proper divisors (103972019).

1300013221 is a wasteful number, since it uses less digits than its factorization.

1300013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283655.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1300013221 is about 36055.6960964561. The cubic root of 1300013221 is about 1091.3965828704.

Adding to 1300013221 its reverse (1223100031), we get a palindrome (2523113252).

The spelling of 1300013221 in words is "one billion, three hundred million, thirteen thousand, two hundred twenty-one".

Divisors: 1 13 353 4589 283289 3682757 100001017 1300013221