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300221330112 = 263211108743591
BaseRepresentation
bin1000101111001101001…
…01011111001011000000
31001200220221101202120200
410113212211133023000
514404323130030422
6345530401005200
730455523125544
oct4274645371300
91050827352520
10300221330112
11106361128950
124a227623800
1322406943882
14107606b7a24
157c21d2d2ac
hex45e695f2c0

300221330112 has 168 divisors, whose sum is σ = 939645437952. Its totient is φ = 90890380800.

The previous prime is 300221330099. The next prime is 300221330159. The reversal of 300221330112 is 211033122003.

300221330112 is a `hidden beast` number, since 3 + 0 + 0 + 221 + 330 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6865437 + ... + 6909027.

Almost surely, 2300221330112 is an apocalyptic number.

300221330112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300221330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469822718976).

300221330112 is an abundant number, since it is smaller than the sum of its proper divisors (639424107840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300221330112 is a wasteful number, since it uses less digits than its factorization.

300221330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44707 (or 44694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300221330112 its reverse (211033122003), we get a palindrome (511254452115).

The spelling of 300221330112 in words is "three hundred billion, two hundred twenty-one million, three hundred thirty thousand, one hundred twelve".