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103300321311 = 32114392376851
BaseRepresentation
bin110000000110100101…
…1011101000000011111
3100212122011210000222100
41200031023131000133
53143024340240221
6115242220220143
710314610146345
oct1401513350037
9325564700870
10103300321311
113a89a37a380
121802b09a653
1399834a50a5
144ddd4c1995
152a48d52926
hex180d2dd01f

103300321311 has 24 divisors (see below), whose sum is σ = 163147121280. Its totient is φ = 62463618000.

The previous prime is 103300321307. The next prime is 103300321343. The reversal of 103300321311 is 113123003301.

It is a happy number.

103300321311 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 0 + 321 + 311 = 666.

It is not a de Polignac number, because 103300321311 - 22 = 103300321307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103310321311) 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 23 ways as a sum of consecutive naturals, for example, 1144965 + ... + 1231886.

It is an arithmetic number, because the mean of its divisors is an integer number (6797796720).

Almost surely, 2103300321311 is an apocalyptic number.

103300321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103300321311 is a deficient number, since it is larger than the sum of its proper divisors (59846799969).

103300321311 is a wasteful number, since it uses less digits than its factorization.

103300321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377307 (or 2377304 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103300321311 its reverse (113123003301), we get a palindrome (216423324612).

The spelling of 103300321311 in words is "one hundred three billion, three hundred million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 439 1317 3951 4829 14487 43461 2376851 7130553 21391659 26145361 78436083 235308249 1043437589 3130312767 9390938301 11477813479 34433440437 103300321311