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300132230112 = 2532111327726309
BaseRepresentation
bin1000101111000010100…
…01100110001111100000
31001200200201202000100200
410113201101212033200
514404132322330422
6345513455145200
730453361602021
oct4274121461740
91050621660320
10300132230112
11106315901790
124a201815200
13223c1348490
1410752922c48
157c190cd2ac
hex45e14663e0

300132230112 has 288 divisors, whose sum is σ = 1006372654560. Its totient is φ = 83646812160.

The previous prime is 300132230107. The next prime is 300132230117. The reversal of 300132230112 is 211032231003.

300132230112 is a `hidden beast` number, since 30 + 0 + 1 + 322 + 301 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (300132230107) and next prime (300132230117).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300132230117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11394814 + ... + 11421122.

It is an arithmetic number, because the mean of its divisors is an integer number (3494349495).

Almost surely, 2300132230112 is an apocalyptic number.

300132230112 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 300132230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503186327280).

300132230112 is an abundant number, since it is smaller than the sum of its proper divisors (706240424448).

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

300132230112 is a wasteful number, since it uses less digits than its factorization.

300132230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26626 (or 26615 counting only the distinct ones).

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

Adding to 300132230112 its reverse (211032231003), we get a palindrome (511164461115).

The spelling of 300132230112 in words is "three hundred billion, one hundred thirty-two million, two hundred thirty thousand, one hundred twelve".