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1300320329 = 71127919433
BaseRepresentation
bin100110110000001…
…0101000001001001
310100121210010011012
41031200111001021
510130340222304
6333010213305
744136353240
oct11540250111
93317703135
101300320329
11607aa6a00
12303584235
1317951aa19
14c49a5957
157925516e
hex4d815049

1300320329 has 24 divisors (see below), whose sum is σ = 1654222080. Its totient is φ = 1000359360.

The previous prime is 1300320317. The next prime is 1300320353. The reversal of 1300320329 is 9230230031.

It is not a de Polignac number, because 1300320329 - 24 = 1300320313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1300320029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57197 + ... + 76629.

It is an arithmetic number, because the mean of its divisors is an integer number (68925920).

Almost surely, 21300320329 is an apocalyptic number.

It is an amenable number.

1300320329 is a deficient number, since it is larger than the sum of its proper divisors (353901751).

1300320329 is a wasteful number, since it uses less digits than its factorization.

1300320329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19541 (or 19530 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 1300320329 is about 36059.9546450075. The cubic root of 1300320329 is about 1091.4825179534.

The spelling of 1300320329 in words is "one billion, three hundred million, three hundred twenty thousand, three hundred twenty-nine".

Divisors: 1 7 11 77 79 121 553 847 869 6083 9559 19433 66913 136031 213763 1496341 1535207 2351393 10746449 16459751 16887277 118210939 185760047 1300320329