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12300003114 = 237319447007
BaseRepresentation
bin10110111010010001…
…10010011100101010
31011202012121220020220
423131020302130222
5200142300044424
65352303430510
7613543205250
oct133510623452
934665556226
1012300003114
115242038433
1224732b5436
131210363b69
148497d25d0
154bec80579
hex2dd23272a

12300003114 has 32 divisors (see below), whose sum is σ = 29021208576. Its totient is φ = 3400922160.

The previous prime is 12300003103. The next prime is 12300003127. The reversal of 12300003114 is 41130000321.

12300003114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12300003093 and 12300003102.

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 15 ways as a sum of consecutive naturals, for example, 4722202 + ... + 4724805.

It is an arithmetic number, because the mean of its divisors is an integer number (906912768).

Almost surely, 212300003114 is an apocalyptic number.

12300003114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12300003114 is an abundant number, since it is smaller than the sum of its proper divisors (16721205462).

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

12300003114 is a wasteful number, since it uses less digits than its factorization.

12300003114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447050.

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

Adding to 12300003114 its reverse (41130000321), we get a palindrome (53430003435).

The spelling of 12300003114 in words is "twelve billion, three hundred million, three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 9447007 18894014 28341021 56682042 66129049 132258098 198387147 292857217 396774294 585714434 878571651 1757143302 2050000519 4100001038 6150001557 12300003114