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300221234313 = 371113257389003
BaseRepresentation
bin1000101111001101001…
…01000111110010001001
31001200220221012220011120
410113212211013302021
514404323113444223
6345530354545453
730455522246340
oct4274645076211
91050827186146
10300221234313
11106361072980
124a227598289
132240690c0a0
1410760690b57
157c21d0ebe3
hex45e6947c89

300221234313 has 64 divisors (see below), whose sum is σ = 539551660032. Its totient is φ = 143401697280.

The previous prime is 300221234297. The next prime is 300221234317. The reversal of 300221234313 is 313432122003.

It is not a de Polignac number, because 300221234313 - 24 = 300221234297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (300221234317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577270 + ... + 966272.

It is an arithmetic number, because the mean of its divisors is an integer number (8430494688).

Almost surely, 2300221234313 is an apocalyptic number.

300221234313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

300221234313 is a deficient number, since it is larger than the sum of its proper divisors (239330425719).

300221234313 is a wasteful number, since it uses less digits than its factorization.

300221234313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389294.

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

Adding to 300221234313 its reverse (313432122003), we get a palindrome (613653356316).

The spelling of 300221234313 in words is "three hundred billion, two hundred twenty-one million, two hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 257 273 429 771 1001 1799 2827 3003 3341 5397 8481 10023 19789 23387 36751 59367 70161 110253 257257 389003 771771 1167009 2723021 4279033 5057039 8169063 12837099 15171117 29953231 35399273 55627429 89859693 99973771 106197819 166882287 299921313 389392003 699816397 1099711481 1168176009 1299659023 2099449191 3299134443 3898977069 7697980367 9097613161 14296249253 23093941101 27292839483 42888747759 100073744771 300221234313