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430114122317 = 11311379206801
BaseRepresentation
bin1100100001001001100…
…11001010101001001101
31112010012101121021202102
412100210303022221031
524021333203403232
6525331450204445
743034425500665
oct6204463125115
91463171537672
10430114122317
111564572331a0
126b438423725
133173754cc29
1416b638371a5
15b2c5566662
hex6424ccaa4d

430114122317 has 16 divisors (see below), whose sum is σ = 487886851584. Its totient is φ = 375637440000.

The previous prime is 430114122313. The next prime is 430114122337. The reversal of 430114122317 is 713221411034.

It is a cyclic number.

It is not a de Polignac number, because 430114122317 - 22 = 430114122313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 430114122317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430114122313) 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, 4556684 + ... + 4650117.

It is an arithmetic number, because the mean of its divisors is an integer number (30492928224).

Almost surely, 2430114122317 is an apocalyptic number.

It is an amenable number.

430114122317 is a deficient number, since it is larger than the sum of its proper divisors (57772729267).

430114122317 is a wasteful number, since it uses less digits than its factorization.

430114122317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206980.

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

The spelling of 430114122317 in words is "four hundred thirty billion, one hundred fourteen million, one hundred twenty-two thousand, three hundred seventeen".

Divisors: 1 11 31 137 341 1507 4247 46717 9206801 101274811 285410831 1261331737 3139519141 13874649107 39101283847 430114122317