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1304122221 = 331511791787
BaseRepresentation
bin100110110111011…
…0101001101101101
310100212221021101000
41031232311031231
510132323402341
6333223510513
744213566413
oct11556651555
93325837330
101304122221
1160a163366
123048b8439
1317a24c36c
14c52b52b3
15797568b6
hex4dbb536d

1304122221 has 32 divisors (see below), whose sum is σ = 1956787200. Its totient is φ = 858351600.

The previous prime is 1304122217. The next prime is 1304122231. The reversal of 1304122221 is 1222214031.

It is a happy number.

1304122221 is a `hidden beast` number, since 1 + 30 + 412 + 2 + 221 = 666.

It is not a de Polignac number, because 1304122221 - 22 = 1304122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1304122194 and 1304122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304122231) 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 31 ways as a sum of consecutive naturals, for example, 728890 + ... + 730676.

It is an arithmetic number, because the mean of its divisors is an integer number (61149600).

Almost surely, 21304122221 is an apocalyptic number.

It is an amenable number.

1304122221 is a deficient number, since it is larger than the sum of its proper divisors (652664979).

1304122221 is a wasteful number, since it uses less digits than its factorization.

1304122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1304122221 is about 36112.6324296637. The cubic root of 1304122221 is about 1092.5452460634.

Adding to 1304122221 its reverse (1222214031), we get a palindrome (2526336252).

The spelling of 1304122221 in words is "one billion, three hundred four million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 151 179 453 537 1359 1611 1787 4077 4833 5361 16083 27029 48249 81087 243261 269837 319873 729783 809511 959619 2428533 2878857 7285599 8636571 48300823 144902469 434707407 1304122221