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300221310012 = 223139771969801
BaseRepresentation
bin1000101111001101001…
…01011010010000111100
31001200220221100202000020
410113212211122100330
514404323123410022
6345530400332140
730455523013131
oct4274645322074
91050827322006
10300221310012
11106361114838
124a227614050
1322406937690
14107606b0588
157c21d2735c
hex45e695a43c

300221310012 has 48 divisors (see below), whose sum is σ = 755174811552. Its totient is φ = 92281190400.

The previous prime is 300221309987. The next prime is 300221310023. The reversal of 300221310012 is 210013122003.

It is a super-2 number, since 2×3002213100122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300221309973 and 300221310000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 832489 + ... + 1137312.

It is an arithmetic number, because the mean of its divisors is an integer number (15732808574).

Almost surely, 2300221310012 is an apocalyptic number.

It is an amenable number.

300221310012 is an abundant number, since it is smaller than the sum of its proper divisors (454953501540).

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

300221310012 is a wasteful number, since it uses less digits than its factorization.

300221310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970798 (or 1970796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 300221310012 its reverse (210013122003), we get a palindrome (510234432015).

The spelling of 300221310012 in words is "three hundred billion, two hundred twenty-one million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 977 1954 2931 3908 5862 11724 12701 25402 38103 50804 76206 152412 1969801 3939602 5909403 7879204 11818806 23637612 25607413 51214826 76822239 102429652 153644478 307288956 1924495577 3848991154 5773486731 7697982308 11546973462 23093946924 25018442501 50036885002 75055327503 100073770004 150110655006 300221310012