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12430640117 = 72253686533
BaseRepresentation
bin10111001001110110…
…01000001111110101
31012002022102221112102
423210323020033311
5200424220440432
65413251431445
7620020461200
oct134473101765
935068387472
1012430640117
1152a98549a5
1224aabb5585
13123144356c
1485ccba937
154cb487962
hex2e4ec83f5

12430640117 has 6 divisors (see below), whose sum is σ = 14460132438. Its totient is φ = 10654834344.

The previous prime is 12430640071. The next prime is 12430640129. The reversal of 12430640117 is 71104603421.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8005596676 + 4425043441 = 89474^2 + 66521^2 .

It is not a de Polignac number, because 12430640117 - 210 = 12430639093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12430640117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430640137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126843218 + ... + 126843315.

It is an arithmetic number, because the mean of its divisors is an integer number (2410022073).

Almost surely, 212430640117 is an apocalyptic number.

It is an amenable number.

12430640117 is a deficient number, since it is larger than the sum of its proper divisors (2029492321).

12430640117 is an equidigital number, since it uses as much as digits as its factorization.

12430640117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253686547 (or 253686540 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 12430640117 in words is "twelve billion, four hundred thirty million, six hundred forty thousand, one hundred seventeen".

Divisors: 1 7 49 253686533 1775805731 12430640117