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12300330132 = 2232418333557
BaseRepresentation
bin10110111010010100…
…00010010010010100
31011202020020111211200
423131022002102110
5200142341031012
65352314432500
7613546036536
oct133512022224
934666214750
1012300330132
1152422410a2
122473432730
13121044996c
14849879856
154bece73dc
hex2dd282494

12300330132 has 36 divisors (see below), whose sum is σ = 31850858676. Its totient is φ = 4000106880.

The previous prime is 12300330131. The next prime is 12300330187. The reversal of 12300330132 is 23103300321.

12300330132 is a `hidden beast` number, since 1 + 2 + 300 + 330 + 1 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 931226256 + 11369103876 = 30516^2 + 106626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300330131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4165303 + ... + 4168254.

Almost surely, 212300330132 is an apocalyptic number.

12300330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300330132 is an abundant number, since it is smaller than the sum of its proper divisors (19550528544).

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

12300330132 is a wasteful number, since it uses less digits than its factorization.

12300330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333608 (or 8333603 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12300330132 its reverse (23103300321), we get a palindrome (35403630453).

The spelling of 12300330132 in words is "twelve billion, three hundred million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8333557 16667114 25000671 33334228 50001342 75002013 100002684 150004026 300008052 341675837 683351674 1025027511 1366703348 2050055022 3075082533 4100110044 6150165066 12300330132