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1313000221 = 13277364621
BaseRepresentation
bin100111001000010…
…1100101100011101
310101111122022200211
41032100230230131
510142112001341
6334142052421
744352213661
oct11620545435
93344568624
101313000221
11614177555
1230787a111
1317c03a310
14c65468a1
157a40c181
hex4e42cb1d

1313000221 has 8 divisors (see below), whose sum is σ = 1419108824. Its totient is φ = 1207621440.

The previous prime is 1313000207. The next prime is 1313000233. The reversal of 1313000221 is 1220003131.

It can be written as a sum of positive squares in 4 ways, for example, as 107868996 + 1205131225 = 10386^2 + 34715^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313000221 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 (1313000261) 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, 178710 + ... + 185911.

It is an arithmetic number, because the mean of its divisors is an integer number (177388603).

Almost surely, 21313000221 is an apocalyptic number.

It is an amenable number.

1313000221 is a deficient number, since it is larger than the sum of its proper divisors (106108603).

1313000221 is a wasteful number, since it uses less digits than its factorization.

1313000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364911.

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

The square root of 1313000221 is about 36235.3449134957. The cubic root of 1313000221 is about 1095.0188611111.

Adding to 1313000221 its reverse (1220003131), we get a palindrome (2533003352).

The spelling of 1313000221 in words is "one billion, three hundred thirteen million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 277 3601 364621 4740073 101000017 1313000221