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300300202020 = 2235713297924007
BaseRepresentation
bin1000101111010110100…
…10010111000000100100
31001201010102210212111110
410113223102113000210
514410003322431040
6345542255305020
730460501413030
oct4275322270044
91051112725443
10300300202020
111063a16a9545
124a249b1b170
132241a09a640
141076ad691c0
157c28c0c980
hex45eb497024

300300202020 has 384 divisors, whose sum is σ = 1084162867200. Its totient is φ = 60398327808.

The previous prime is 300300202019. The next prime is 300300202043. The reversal of 300300202020 is 20202003003.

It is a super-2 number, since 2×3003002020202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300300201987 and 300300202005.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12496857 + ... + 12520863.

It is an arithmetic number, because the mean of its divisors is an integer number (2823340800).

Almost surely, 2300300202020 is an apocalyptic number.

300300202020 is a gapful number since it is divisible by the number (30) 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 300300202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542081433600).

300300202020 is an abundant number, since it is smaller than the sum of its proper divisors (783862665180).

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

300300202020 is a wasteful number, since it uses less digits than its factorization.

300300202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147 (or 24145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 300300202020 its reverse (20202003003), we get a palindrome (320502205023).

The spelling of 300300202020 in words is "three hundred billion, three hundred million, two hundred two thousand, twenty".