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1145289201201 = 332333494671117
BaseRepresentation
bin10000101010101000100…
…011100101011000110001
311001111012011200120021000
4100222220203211120301
5122231023013414301
62234045534152213
7145513222405005
oct20525043453061
94044164616230
101145289201201
114017949951a2
12165b6b052669
13840008a5b92
143d60a2d8705
151ebd19b8786
hex10aa88e5631

1145289201201 has 64 divisors (see below), whose sum is σ = 1714081824000. Its totient is φ = 755770341888.

The previous prime is 1145289201197. The next prime is 1145289201211. The reversal of 1145289201201 is 1021029825411.

1145289201201 is a `hidden beast` number, since 1 + 1 + 4 + 528 + 9 + 2 + 0 + 120 + 1 = 666.

It is not a de Polignac number, because 1145289201201 - 22 = 1145289201197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1145289201211) 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 63 ways as a sum of consecutive naturals, for example, 1025325495 + ... + 1025326611.

It is an arithmetic number, because the mean of its divisors is an integer number (26782528500).

Almost surely, 21145289201201 is an apocalyptic number.

It is an amenable number.

1145289201201 is a deficient number, since it is larger than the sum of its proper divisors (568792622799).

1145289201201 is a wasteful number, since it uses less digits than its factorization.

1145289201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1145289201201 in words is "one trillion, one hundred forty-five billion, two hundred eighty-nine million, two hundred one thousand, two hundred one".

Divisors: 1 3 9 27 233 349 467 699 1047 1117 1401 2097 3141 3351 4203 6291 9423 10053 12609 30159 81317 108811 162983 243951 260261 326433 389833 488949 521639 731853 780783 979299 1169499 1466847 1564917 2195559 2342349 2937897 3508497 4400541 4694751 7027047 10525491 14084253 37975039 90831089 113925117 121541887 182052011 272493267 341775351 364625661 546156033 817479801 1025326053 1093876983 1638468099 2452439403 3281630949 4915404297 42418118563 127254355689 381763067067 1145289201201