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430331124431 = 131917310070701
BaseRepresentation
bin1100100001100011011…
…10111101101011001111
31112010202111221010200202
412100301232331223033
524022304231440211
6525405201244115
743043002130135
oct6206156755317
91463674833622
10430331124431
1115655877908a
126b49903363b
13317704aac50
1416b845a3755
15b2d962d53b
hex6431bbdacf

430331124431 has 16 divisors (see below), whose sum is σ = 490644601440. Its totient is φ = 374146646400.

The previous prime is 430331124413. The next prime is 430331124473. The reversal of 430331124431 is 134421133034.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-430331124431 is a prime.

It is a super-2 number, since 2×4303311244312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430331124394 and 430331124403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430331124481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4992620 + ... + 5078081.

It is an arithmetic number, because the mean of its divisors is an integer number (30665287590).

Almost surely, 2430331124431 is an apocalyptic number.

430331124431 is a deficient number, since it is larger than the sum of its proper divisors (60313477009).

430331124431 is a wasteful number, since it uses less digits than its factorization.

430331124431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070906.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 430331124431 its reverse (134421133034), we get a palindrome (564752257465).

The spelling of 430331124431 in words is "four hundred thirty billion, three hundred thirty-one million, one hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 13 19 173 247 2249 3287 42731 10070701 130919113 191343319 1742231273 2487463147 22649006549 33102394187 430331124431