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990333303333099 = 311217335809440389
BaseRepresentation
bin1110000100101100111111000…
…0110000010010000011101011
311210212110221100122221200021020
43201023033300300102003223
52014301110101123124344
613430132501105343523
7415412135316243255
oct34113176060220353
94725427318850236
10990333303333099
11267606aa4882a00
12930a528b637ba3
13336790505a130b
141367a55d93acd5
157975c966a1719
hex384b3f0c120eb

990333303333099 has 48 divisors (see below), whose sum is σ = 1459831230631200. Its totient is φ = 596714606991360.

The previous prime is 990333303333097. The next prime is 990333303333103.

990333303333099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 990333303333099 - 21 = 990333303333097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (990333303333097) 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 47 ways as a sum of consecutive naturals, for example, 2248549197 + ... + 2248989585.

It is an arithmetic number, because the mean of its divisors is an integer number (30413150638150).

Almost surely, 2990333303333099 is an apocalyptic number.

990333303333099 is a deficient number, since it is larger than the sum of its proper divisors (469497927298101).

990333303333099 is a wasteful number, since it uses less digits than its factorization.

990333303333099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476396 (or 476385 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 60.

The spelling of 990333303333099 in words is "nine hundred ninety trillion, three hundred thirty-three billion, three hundred three million, three hundred thirty-three thousand, ninety-nine".

Divisors: 1 3 11 33 121 173 363 519 1903 5709 20933 35809 62799 107427 393899 440389 1181697 1321167 4332889 4844279 6194957 12998667 14532837 18584871 53287069 68144527 76187297 159861207 204433581 228561891 749589797 838060267 2248769391 2514180801 9218662937 15769889701 27655988811 47309669103 173468786711 520406360133 1908156653821 2728190918273 5724469961463 8184572754819 30010100101003 90030300303009 330111101111033 990333303333099