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12132404314 = 2174761711753
BaseRepresentation
bin10110100110010010…
…11100110001011010
31011022112020222220221
423103021130301122
5144321343414224
65323515310254
7606436510102
oct132311346132
934275228827
1012132404314
115166475a28
12242714b38a
1311b4712784
14831446202
154b01c66e4
hex2d325cc5a

12132404314 has 64 divisors (see below), whose sum is σ = 20294986752. Its totient is φ = 5415782400.

The previous prime is 12132404309. The next prime is 12132404327. The reversal of 12132404314 is 41340423121.

12132404314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6920062 + ... + 6921814.

It is an arithmetic number, because the mean of its divisors is an integer number (317109168).

Almost surely, 212132404314 is an apocalyptic number.

12132404314 is a deficient number, since it is larger than the sum of its proper divisors (8162582438).

12132404314 is a wasteful number, since it uses less digits than its factorization.

12132404314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12132404314 its reverse (41340423121), we get a palindrome (53472827435).

The spelling of 12132404314 in words is "twelve billion, one hundred thirty-two million, four hundred four thousand, three hundred fourteen".

Divisors: 1 2 17 34 47 61 71 94 122 142 799 1037 1207 1598 1753 2074 2414 2867 3337 3506 4331 5734 6674 8662 29801 48739 56729 59602 73627 82391 97478 106933 113458 124463 147254 164782 203557 213866 248926 407114 1400647 1817861 2115871 2801294 3460469 3635722 4231742 5025851 5849761 6920938 7592243 10051702 11699522 15184486 85439467 99445937 129068131 170878934 198891874 258136262 356835421 713670842 6066202157 12132404314