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1056441321 = 321377311681
BaseRepresentation
bin111110111110000…
…000001111101001
32201121212210001100
4332332000033221
54130422110241
6252455112013
735115413565
oct7676001751
92647783040
101056441321
114a2374001
12255972609
1313ab3c410
14a04406a5
1562b2e9b6
hex3ef803e9

1056441321 has 24 divisors (see below), whose sum is σ = 1645619976. Its totient is φ = 649221120.

The previous prime is 1056441311. The next prime is 1056441367. The reversal of 1056441321 is 1231446501.

It is a happy number.

1056441321 is a `hidden beast` number, since 1 + 0 + 5 + 644 + 13 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4347225 + 1052094096 = 2085^2 + 32436^2 .

It is not a de Polignac number, because 1056441321 - 25 = 1056441289 is a prime.

It is a super-2 number, since 2×10564413212 = 2232136529432450082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056441311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84601 + ... + 96281.

It is an arithmetic number, because the mean of its divisors is an integer number (68567499).

Almost surely, 21056441321 is an apocalyptic number.

It is an amenable number.

1056441321 is a deficient number, since it is larger than the sum of its proper divisors (589178655).

1056441321 is a wasteful number, since it uses less digits than its factorization.

1056441321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12473 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1056441321 is about 32502.9432667259. The cubic root of 1056441321 is about 1018.4705133378.

Adding to 1056441321 its reverse (1231446501), we get a palindrome (2287887822).

The spelling of 1056441321 in words is "one billion, fifty-six million, four hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 773 2319 6957 10049 11681 30147 35043 90441 105129 151853 455559 1366677 9029413 27088239 81264717 117382369 352147107 1056441321