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300131433440213 = 3747537349578999
BaseRepresentation
bin100010000111101111100101…
…1011110011110001111010101
31110100200021200122011010210012
41010033133023132132033111
5303314323133430041323
62542154251015010005
7120134531465334314
oct10417371336361725
91410607618133705
10300131433440213
11876a4031848491
12297b3595969905
13cb61371265c0b
14541862043a27b
1524a7192470678
hex110f7cb79e3d5

300131433440213 has 64 divisors (see below), whose sum is σ = 325236549888000. Its totient is φ = 276486199621632.

The previous prime is 300131433440147. The next prime is 300131433440227. The reversal of 300131433440213 is 312044334131003.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 300131433440213 - 228 = 300131165004757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 300131433440213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300131433440263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33351638288 + ... + 33351647286.

It is an arithmetic number, because the mean of its divisors is an integer number (5081821092000).

Almost surely, 2300131433440213 is an apocalyptic number.

It is an amenable number.

300131433440213 is a deficient number, since it is larger than the sum of its proper divisors (25105116447787).

300131433440213 is a wasteful number, since it uses less digits than its factorization.

300131433440213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 300131433440213 its reverse (312044334131003), we get a palindrome (612175767571216).

The spelling of 300131433440213 in words is "three hundred trillion, one hundred thirty-one billion, four hundred thirty-three million, four hundred forty thousand, two hundred thirteen".

Divisors: 1 37 47 53 73 1739 1961 2491 2701 3431 3869 4957 8999 92167 126947 143153 181843 183409 232979 262721 332963 361861 422953 476947 656927 6728191 8620223 9720677 12347887 13388857 15649261 17007467 17647039 19178633 22416509 24306299 30875569 34817131 44608043 456871819 629276279 709609421 829410833 901395751 1142396053 1288233847 1636405157 1650497591 2096578021 2364226279 3256387139 33351642787 60546990809 77573386777 87476372323 111118635113 120486324143 153050195533 172588518367 4111389499181 5662857234721 6385775179579 8111660363249 300131433440213