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300145323403341 = 33132536192005001
BaseRepresentation
bin100010000111110110000011…
…1011000011110100001001101
31110100201121112122120101011000
41010033230013120132201031
5303320040110242401331
62542204505201050513
7120135532626145533
oct10417540730364115
91410647478511130
10300145323403341
11876a9a0a31a359
12297b6211626a39
13cb62775b28a00
14541917b06c153
1524a7706aba0e6
hex110fb0761e84d

300145323403341 has 96 divisors (see below), whose sum is σ = 491373058147200. Its totient is φ = 180926965440000.

The previous prime is 300145323403319. The next prime is 300145323403361. The reversal of 300145323403341 is 143304323541003.

300145323403341 is a `hidden beast` number, since 3 + 0 + 0 + 14 + 532 + 3 + 40 + 33 + 41 = 666.

It is not a de Polignac number, because 300145323403341 - 29 = 300145323402829 is a prime.

It is a super-2 number, since 2×3001453234033412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300145323403296 and 300145323403305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300145323403361) 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 95 ways as a sum of consecutive naturals, for example, 148695841 + ... + 150700841.

It is an arithmetic number, because the mean of its divisors is an integer number (5118469355700).

Almost surely, 2300145323403341 is an apocalyptic number.

It is an amenable number.

300145323403341 is a deficient number, since it is larger than the sum of its proper divisors (191227734743859).

300145323403341 is a wasteful number, since it uses less digits than its factorization.

300145323403341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005708 (or 2005689 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 300145323403341 its reverse (143304323541003), we get a palindrome (443449646944344).

The spelling of 300145323403341 in words is "three hundred trillion, one hundred forty-five billion, three hundred twenty-three million, four hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 53 117 159 169 351 477 507 619 689 1431 1521 1857 2067 4563 5571 6201 8047 8957 16713 18603 24141 26871 32807 72423 80613 98421 104611 217269 241839 295263 313833 426491 885789 941499 1279473 2005001 2824497 3838419 5544383 6015003 11515257 16633149 18045009 26065013 49899447 54135027 78195039 106265053 149698341 234585117 318795159 338845169 703755351 956385477 1016535507 1241095619 1381445689 2869156431 3049606521 3723286857 4144337067 9148819563 11169860571 12433011201 16134243047 17958793957 33509581713 37299033603 48402729141 53876381871 65778067807 145208187423 161629145613 197334203421 209745159611 435624562269 484887436839 592002610263 629235478833 855114881491 1776007830789 1887706436499 2565344644473 5663119309497 7696033933419 11116493459383 23088101800257 33349480378149 100048441134447 300145323403341