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12132130010 = 25721113412103
BaseRepresentation
bin10110100110010000…
…11001110011011010
31011022111202001122112
423103020121303122
5144321311130020
65323505352322
7606434255300
oct132310316332
934274661575
1012132130010
1151662a8930
1224270386a2
1311b4647970
148313b4270
154b01702c5
hex2d3219cda

12132130010 has 288 divisors, whose sum is σ = 30886966656. Its totient is φ = 3372364800.

The previous prime is 12132130001. The next prime is 12132130013. The reversal of 12132130010 is 1003123121.

12132130010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12132130013) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 117787619 + ... + 117787721.

It is an arithmetic number, because the mean of its divisors is an integer number (107246412).

Almost surely, 212132130010 is an apocalyptic number.

12132130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12132130010 is an abundant number, since it is smaller than the sum of its proper divisors (18754836646).

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

12132130010 is a wasteful number, since it uses less digits than its factorization.

12132130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12132130010 its reverse (1003123121), we get a palindrome (13135253131).

The spelling of 12132130010 in words is "twelve billion, one hundred thirty-two million, one hundred thirty thousand, ten".