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12114005435 = 571720359673
BaseRepresentation
bin10110100100000110…
…10000110110111011
31011021020122020101222
423102003100312323
5144302141133220
65322021102255
7606124230050
oct132203206673
934236566358
1012114005435
115157049644
122420b5798b
1311b097006c
1482cc17027
154ad78ee25
hex2d20d0dbb

12114005435 has 16 divisors (see below), whose sum is σ = 17590758336. Its totient is φ = 7818114048.

The previous prime is 12114005429. The next prime is 12114005441. The reversal of 12114005435 is 53450041121.

12114005435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12114005429) and next prime (12114005441).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12114005435 is a prime.

It is a super-3 number, since 3×121140054353 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

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, 10179242 + ... + 10180431.

It is an arithmetic number, because the mean of its divisors is an integer number (1099422396).

Almost surely, 212114005435 is an apocalyptic number.

12114005435 is a deficient number, since it is larger than the sum of its proper divisors (5476752901).

12114005435 is a wasteful number, since it uses less digits than its factorization.

12114005435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359702.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 12114005435 its reverse (53450041121), we get a palindrome (65564046556).

The spelling of 12114005435 in words is "twelve billion, one hundred fourteen million, five thousand, four hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 595 20359673 101798365 142517711 346114441 712588555 1730572205 2422801087 12114005435