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300111000321 = 311219719921089
BaseRepresentation
bin1000101111000000000…
…00100111001100000001
31001200122020210102120010
410113200000213030001
514404111404002241
6345511420135133
730453013261416
oct4274000471401
91050566712503
10300111000321
11106304921500
124a1b66974a9
13223b9b24382
141074db9810d
157c172d7d16
hex45e0027301

300111000321 has 48 divisors (see below), whose sum is σ = 444307248000. Its totient is φ = 180044282880.

The previous prime is 300111000317. The next prime is 300111000367. The reversal of 300111000321 is 123000111003.

It is not a de Polignac number, because 300111000321 - 22 = 300111000317 is a prime.

It is a super-2 number, since 2×3001110003212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300111000297 and 300111000306.

It is not an unprimeable number, because it can be changed into a prime (300111007321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14220145 + ... + 14241233.

It is an arithmetic number, because the mean of its divisors is an integer number (9256401000).

Almost surely, 2300111000321 is an apocalyptic number.

It is an amenable number.

300111000321 is a deficient number, since it is larger than the sum of its proper divisors (144196247679).

300111000321 is a wasteful number, since it uses less digits than its factorization.

300111000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21510 (or 21499 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 300111000321 its reverse (123000111003), we get a palindrome (423111111324).

The spelling of 300111000321 in words is "three hundred billion, one hundred eleven million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 121 197 199 363 591 597 2167 2189 6501 6567 21089 23837 24079 39203 63267 71511 72237 117609 231979 431233 695937 1293699 2551769 4154533 4196711 4743563 7655307 12463599 12590133 14230689 45699863 46163821 137099589 138491463 502698493 507802031 826752067 1508095479 1523406093 2480256201 9094272737 27282818211 100037000107 300111000321