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287300013 = 371113293299
BaseRepresentation
bin10001000111111…
…101100110101101
3202000121100112020
4101013331212231
51042022100023
644301500353
710056003240
oct2107754655
9660540466
10287300013
1113819a830
12802716b9
13476a2310
142a229257
151a350de3
hex111fd9ad

287300013 has 64 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 132975360.

The previous prime is 287300003. The next prime is 287300021. The reversal of 287300013 is 310003782.

It is not a de Polignac number, because 287300013 - 25 = 287299981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287300003) 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, 85438 + ... + 88736.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2287300013 is an apocalyptic number.

It is an amenable number.

287300013 is a deficient number, since it is larger than the sum of its proper divisors (244923987).

287300013 is a wasteful number, since it uses less digits than its factorization.

287300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 287300013 is about 16949.9266370094. The cubic root of 287300013 is about 659.8499911602.

Adding to 287300013 its reverse (310003782), we get a palindrome (597303795).

The spelling of 287300013 in words is "two hundred eighty-seven million, three hundred thousand, thirteen".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 143 203 231 273 319 377 429 609 957 1001 1131 2233 2639 3003 3299 4147 6699 7917 9897 12441 23093 29029 36289 42887 69279 87087 95671 108867 128661 254023 287013 300209 471757 669697 762069 900627 1052381 1243723 1415271 2009091 3157143 3302299 3731169 7366667 8706061 9906897 13680953 22100001 26118183 41042859 95766671 287300013