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130000221 = 3413123457
BaseRepresentation
bin1111011111110…
…10010101011101
3100001121200210000
413233322111131
5231240001341
620522204513
73135661251
oct757722535
9301550700
10130000221
11674220aa
1237653739
1320c18910
14133a0261
15b62d8b6
hex7bfa55d

130000221 has 20 divisors (see below), whose sum is σ = 209137852. Its totient is φ = 79999488.

The previous prime is 130000193. The next prime is 130000229. The reversal of 130000221 is 122000031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84437721 + 45562500 = 9189^2 + 6750^2 .

It is not a de Polignac number, because 130000221 - 27 = 130000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60676 + ... + 62781.

Almost surely, 2130000221 is an apocalyptic number.

It is an amenable number.

130000221 is a deficient number, since it is larger than the sum of its proper divisors (79137631).

130000221 is a wasteful number, since it uses less digits than its factorization.

130000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123482 (or 123473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130000221 is about 11401.7639424784. The cubic root of 130000221 is about 506.5799889718.

Adding to 130000221 its reverse (122000031), we get a palindrome (252000252).

The spelling of 130000221 in words is "one hundred thirty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 81 117 351 1053 123457 370371 1111113 1604941 3333339 4814823 10000017 14444469 43333407 130000221