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300102300112 = 24372293221077
BaseRepresentation
bin1000101110111110111…
…11011011000111010000
31001200121122102102010011
410113133133123013100
514404102142100422
6345510505444304
730452546314366
oct4273737330720
91050548372104
10300102300112
111062aaa1994a
124a1b37a0694
13223b8099314
141074c971636
157c1666a077
hex45df7db1d0

300102300112 has 40 divisors (see below), whose sum is σ = 597426153896. Its totient is φ = 145931383296.

The previous prime is 300102300107. The next prime is 300102300131. The reversal of 300102300112 is 211003201003.

It can be written as a sum of positive squares in 4 ways, for example, as 60977388096 + 239124912016 = 246936^2 + 489004^2 .

It is a super-2 number, since 2×3001023001122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300102300092 and 300102300101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1246918 + ... + 1467994.

Almost surely, 2300102300112 is an apocalyptic number.

It is an amenable number.

300102300112 is a deficient number, since it is larger than the sum of its proper divisors (297323853784).

300102300112 is a wasteful number, since it uses less digits than its factorization.

300102300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223415 (or 223409 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 300102300112 its reverse (211003201003), we get a palindrome (511105501115).

The spelling of 300102300112 in words is "three hundred billion, one hundred two million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 37 74 148 296 592 2293 4586 9172 18344 36688 84841 169682 221077 339364 442154 678728 884308 1357456 1768616 3537232 8179849 16359698 32719396 65438792 130877584 506929561 1013859122 2027718244 4055436488 8110872976 18756393757 37512787514 75025575028 150051150056 300102300112