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300013303211232 = 25313240395275009
BaseRepresentation
bin100010000110111000100101…
…0010111011010010011100000
31110100020222202221021201221020
41010031301022113122103200
5303310404221110224412
62542024113034125440
7120123150222060342
oct10415611227322340
91410228687251836
10300013303211232
1187658a22371a76
1229794708280880
13cb5319655a140
145412a1556d292
1524a407b70618c
hex110dc4a5da4e0

300013303211232 has 48 divisors (see below), whose sum is σ = 848114530235280. Its totient is φ = 92311785603072.

The previous prime is 300013303211231. The next prime is 300013303211243. The reversal of 300013303211232 is 232112303310003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300013303211231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120197636257 + ... + 120197638752.

It is an arithmetic number, because the mean of its divisors is an integer number (17669052713235).

Almost surely, 2300013303211232 is an apocalyptic number.

300013303211232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

300013303211232 is an abundant number, since it is smaller than the sum of its proper divisors (548101227024048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300013303211232 is a wasteful number, since it uses less digits than its factorization.

300013303211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240395275035 (or 240395275027 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 300013303211232 its reverse (232112303310003), we get a palindrome (532125606521235).

The spelling of 300013303211232 in words is "three hundred trillion, thirteen billion, three hundred three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 240395275009 480790550018 721185825027 961581100036 1442371650054 1923162200072 2884743300108 3125138575117 3846324400144 5769486600216 6250277150234 7692648800288 9375415725351 11538973200432 12500554300468 18750831450702 23077946400864 25001108600936 37501662901404 50002217201872 75003325802808 100004434403744 150006651605616 300013303211232