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300020121000 = 23325353628973
BaseRepresentation
bin1000101110110101001…
…01111011110110101000
31001200101220210021120100
410113122211323312220
514403420122333000
6345454412225400
730450530644215
oct4273245736650
91050356707510
10300020121000
1110626859a526
124a19016b260
13223a4055122
1410741a9cb0c
157c0e335a00
hex45da97bda8

300020121000 has 192 divisors, whose sum is σ = 1033203010320. Its totient is φ = 78495705600.

The previous prime is 300020120993. The next prime is 300020121061. The reversal of 300020121000 is 121020003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 85482555876 + 214537565124 = 292374^2 + 463182^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162514 + ... + 791486.

Almost surely, 2300020121000 is an apocalyptic number.

300020121000 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 300020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516601505160).

300020121000 is an abundant number, since it is smaller than the sum of its proper divisors (733182889320).

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

300020121000 is a wasteful number, since it uses less digits than its factorization.

300020121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629053 (or 629036 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 300020121000 its reverse (121020003), we get a palindrome (300141141003).

The spelling of 300020121000 in words is "three hundred billion, twenty million, one hundred twenty-one thousand".