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1001200329 = 32172735273
BaseRepresentation
bin111011101011010…
…001101011001001
32120202221020122200
4323223101223021
54022301402304
6243203110413
733545030253
oct7353215311
92522836580
101001200329
11474173698
1223b372409
1312c56a63c
1496d80cd3
155cd6be39
hex3bad1ac9

1001200329 has 36 divisors (see below), whose sum is σ = 1557591516. Its totient is φ = 619481088.

The previous prime is 1001200289. The next prime is 1001200337. The reversal of 1001200329 is 9230021001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 102819600 + 898380729 = 10140^2 + 29973^2 .

It is not a de Polignac number, because 1001200329 - 29 = 1001199817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001200339) 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 35 ways as a sum of consecutive naturals, for example, 187237 + ... + 192509.

It is an arithmetic number, because the mean of its divisors is an integer number (43266431).

Almost surely, 21001200329 is an apocalyptic number.

It is an amenable number.

1001200329 is a deficient number, since it is larger than the sum of its proper divisors (556391187).

1001200329 is a wasteful number, since it uses less digits than its factorization.

1001200329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1001200329 is about 31641.7497777857. The cubic root of 1001200329 is about 1000.3999496856.

The spelling of 1001200329 in words is "one billion, one million, two hundred thousand, three hundred twenty-nine".

Divisors: 1 3 9 17 51 73 153 219 289 657 867 1241 2601 3723 5273 11169 15819 21097 47457 63291 89641 189873 268923 384929 806769 1154787 1523897 3464361 4571691 6543793 13715073 19631379 58894137 111244481 333733443 1001200329