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300144211323 = 311313975871259
BaseRepresentation
bin1000101111000011111…
…11010011010101111011
31001200201120021201111020
410113201333103111323
514404143404230243
6345515004033523
730453565462455
oct4274177232573
91050646251436
10300144211323
11106321645410
124a2058328a3
13223c3981a58
14107543612d5
157c1a198283
hex45e1fd357b

300144211323 has 64 divisors (see below), whose sum is σ = 452920688640. Its totient is φ = 175155868800.

The previous prime is 300144211277. The next prime is 300144211403. The reversal of 300144211323 is 323112441003.

It is a happy number.

It is not a de Polignac number, because 300144211323 - 213 = 300144203131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300144211293 and 300144211302.

It is not an unprimeable number, because it can be changed into a prime (300144210323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238398268 + ... + 238399526.

It is an arithmetic number, because the mean of its divisors is an integer number (7076885760).

Almost surely, 2300144211323 is an apocalyptic number.

300144211323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

300144211323 is a deficient number, since it is larger than the sum of its proper divisors (152776477317).

300144211323 is a wasteful number, since it uses less digits than its factorization.

300144211323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 300144211323 its reverse (323112441003), we get a palindrome (623256652326).

The spelling of 300144211323 in words is "three hundred billion, one hundred forty-four million, two hundred eleven thousand, three hundred twenty-three".

Divisors: 1 3 11 31 33 93 341 397 587 1023 1191 1259 1761 3777 4367 6457 12307 13101 13849 18197 19371 36921 39029 41547 54591 117087 135377 200167 233039 406131 429319 499823 600501 699117 739033 1287957 1499469 2217099 2563429 5498053 7224209 7690287 8129363 15494513 16494159 21672627 22910023 24388089 46483539 68730069 79466299 170439643 238398897 252010253 293396101 511318929 756030759 880188303 3227357111 9095279131 9682071333 27285837393 100048070441 300144211323