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1009300300293 = 331127181472123
BaseRepresentation
bin11101010111111101111…
…11000110001000000101
310120111011212120122001110
432223332333012020011
5113014021334102133
62051355520115233
7132630255000105
oct16537677061005
93514155518043
101009300300293
1135a05078618a
12143738765b19
137423b0204cc
1436bc96ad205
151b3c2eb0c63
hexeafefc6205

1009300300293 has 32 divisors (see below), whose sum is σ = 1407820890112. Its totient is φ = 642463617600.

The previous prime is 1009300300247. The next prime is 1009300300313. The reversal of 1009300300293 is 3920030039001.

It is not a de Polignac number, because 1009300300293 - 228 = 1009031864837 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1009300300293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009320300293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901730 + ... + 2373852.

It is an arithmetic number, because the mean of its divisors is an integer number (43994402816).

Almost surely, 21009300300293 is an apocalyptic number.

It is an amenable number.

1009300300293 is a deficient number, since it is larger than the sum of its proper divisors (398520589819).

1009300300293 is a wasteful number, since it uses less digits than its factorization.

1009300300293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472465.

The product of its (nonzero) digits is 4374, while the sum is 30.

Adding to 1009300300293 its reverse (3920030039001), we get a palindrome (4929330339294).

The spelling of 1009300300293 in words is "one trillion, nine billion, three hundred million, three hundred thousand, two hundred ninety-three".

Divisors: 1 3 31 93 127 181 381 543 3937 5611 11811 16833 22987 68961 472123 712597 1416369 2137791 14635813 43907439 59959621 85454263 179878863 256362789 1858748251 2649082153 5576244753 7947246459 10852691401 32558074203 336433433431 1009300300293