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1001116273317 = 35389123757191
BaseRepresentation
bin11101001000101110010…
…11100000101010100101
310112201001111212222121020
432210113023200222211
5112400241231221232
62043523444041353
7132220410630126
oct16442713405245
93481044788536
101001116273317
11356631045626
12142033993259
13735356265b4
14366507c004d
151b094763e2c
hexe9172e0aa5

1001116273317 has 32 divisors (see below), whose sum is σ = 1376423850240. Its totient is φ = 646925959680.

The previous prime is 1001116273309. The next prime is 1001116273343. The reversal of 1001116273317 is 7133726111001.

It is not a de Polignac number, because 1001116273317 - 23 = 1001116273309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001116273217) 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, 17476192 + ... + 17533382.

It is an arithmetic number, because the mean of its divisors is an integer number (43013245320).

Almost surely, 21001116273317 is an apocalyptic number.

It is an amenable number.

1001116273317 is a deficient number, since it is larger than the sum of its proper divisors (375307576923).

1001116273317 is a wasteful number, since it uses less digits than its factorization.

1001116273317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58573.

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 1001116273317 in words is "one trillion, one billion, one hundred sixteen million, two hundred seventy-three thousand, three hundred seventeen".

Divisors: 1 3 53 89 159 267 1237 3711 4717 14151 57191 65561 110093 171573 196683 330279 3031123 5089999 5834929 9093369 15269997 17504787 70745267 212235801 269769947 809309841 3749499151 6296328763 11248497453 18888986289 333705424439 1001116273317