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1130013221 = 11310499533
BaseRepresentation
bin100001101011010…
…1010001000100101
32220202022121201112
41003112222020211
54303240410341
6304044034405
740000645121
oct10326521045
92822277645
101130013221
1152a954727
12276532a05
1315015b99c
14aa112581
1569313aeb
hex435aa225

1130013221 has 8 divisors (see below), whose sum is σ = 1141219800. Its totient is φ = 1118828032.

The previous prime is 1130013187. The next prime is 1130013233. The reversal of 1130013221 is 1223100311.

It can be written as a sum of positive squares in 4 ways, for example, as 17056900 + 1112956321 = 4130^2 + 33361^2 .

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 1130013221 - 210 = 1130012197 is a prime.

It is a Duffinian number.

1130013221 is a modest number, since divided by 13221 gives 1130 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1130013196 and 1130013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130013281) 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, 113771 + ... + 123303.

It is an arithmetic number, because the mean of its divisors is an integer number (142652475).

Almost surely, 21130013221 is an apocalyptic number.

It is an amenable number.

1130013221 is a deficient number, since it is larger than the sum of its proper divisors (11206579).

1130013221 is a wasteful number, since it uses less digits than its factorization.

1130013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1130013221 is about 33615.6692778829. The cubic root of 1130013221 is about 1041.5844994544.

Adding to 1130013221 its reverse (1223100311), we get a palindrome (2353113532).

The spelling of 1130013221 in words is "one billion, one hundred thirty million, thirteen thousand, two hundred twenty-one".

Divisors: 1 113 1049 9533 118537 1077229 10000117 1130013221