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12005000097 = 3103162723879
BaseRepresentation
bin10110010111000110…
…11100001110100001
31010222122112012012020
423023203130032201
5144041240000342
65303124452053
7603331550166
oct131343341641
933878465166
1012005000097
115100567292
1223b054a029
1311941c566c
1481c56006d
154a3e0c0ec
hex2cb8dc3a1

12005000097 has 16 divisors (see below), whose sum is σ = 16172682240. Its totient is φ = 7920428112.

The previous prime is 12005000093. The next prime is 12005000099. The reversal of 12005000097 is 79000050021.

12005000097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12005000097 - 22 = 12005000093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12005000093) 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 15 ways as a sum of consecutive naturals, for example, 490804 + ... + 514682.

It is an arithmetic number, because the mean of its divisors is an integer number (1010792640).

Almost surely, 212005000097 is an apocalyptic number.

It is an amenable number.

12005000097 is a deficient number, since it is larger than the sum of its proper divisors (4167682143).

12005000097 is a wasteful number, since it uses less digits than its factorization.

12005000097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25612.

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 12005000097 in words is "twelve billion, five million, ninety-seven", and thus it is an aban number and an uban number.

Divisors: 1 3 103 309 1627 4881 23879 71637 167581 502743 2459537 7378611 38851133 116553399 4001666699 12005000097