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300202223103213 = 31779321723161441
BaseRepresentation
bin100010001000010000100011…
…0110111100110110011101101
31110100221001102002101121122120
41010100201012313212303231
5303322003123103300323
62542250555235103153
7120142615641465414
oct10420410667466355
91410831362347576
10300202223103213
1187721058760002
1229805251141ab9
13cb67c43184382
14541bc17c8a47b
1524a8e370655e3
hex1110846de6ced

300202223103213 has 32 divisors (see below), whose sum is σ = 429313077250560. Its totient is φ = 185920028835840.

The previous prime is 300202223103131. The next prime is 300202223103301. The reversal of 300202223103213 is 312301322202003.

It is not a de Polignac number, because 300202223103213 - 212 = 300202223099117 is a prime.

It is a super-2 number, since 2×3002022231032132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300202223103413) 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 31 ways as a sum of consecutive naturals, for example, 1380573 + ... + 24542013.

It is an arithmetic number, because the mean of its divisors is an integer number (13416033664080).

Almost surely, 2300202223103213 is an apocalyptic number.

It is an amenable number.

300202223103213 is a deficient number, since it is larger than the sum of its proper divisors (129110854147347).

300202223103213 is a wasteful number, since it uses less digits than its factorization.

300202223103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23164757.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 300202223103213 its reverse (312301322202003), we get a palindrome (612503545305216).

The spelling of 300202223103213 in words is "three hundred trillion, two hundred two billion, two hundred twenty-three million, one hundred three thousand, two hundred thirteen".

Divisors: 1 3 17 51 79 237 1343 3217 4029 9651 54689 164067 254143 762429 4320431 12961293 23161441 69484323 393744497 1181233491 1829753839 5489261517 31105815263 74510355697 93317445789 223531067091 1266676046849 3800028140547 5886318100063 17658954300189 100067407701071 300202223103213