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320300021431 = 1334711172777
BaseRepresentation
bin1001010100100110101…
…11100111011010110111
31010121202020222222000201
410222103113213122313
520221433301141211
6403051021021331
732066222155315
oct4522327473267
91117666888021
10320300021431
11113925014915
12520ab9b4847
1324286711000
14117072050b5
1584e99400c1
hex4a935e76b7

320300021431 has 32 divisors (see below), whose sum is σ = 354807048960. Its totient is φ = 289007716608.

The previous prime is 320300021413. The next prime is 320300021477. The reversal of 320300021431 is 134120003023.

It is not a de Polignac number, because 320300021431 - 25 = 320300021399 is a prime.

It is a super-2 number, since 2×3203000214312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320300021399 and 320300021408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320300021411) 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 31 ways as a sum of consecutive naturals, for example, 115338915 + ... + 115341691.

It is an arithmetic number, because the mean of its divisors is an integer number (11087720280).

Almost surely, 2320300021431 is an apocalyptic number.

320300021431 is a deficient number, since it is larger than the sum of its proper divisors (34507027529).

320300021431 is a wasteful number, since it uses less digits than its factorization.

320300021431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 320300021431 its reverse (134120003023), we get a palindrome (454420024454).

The spelling of 320300021431 in words is "three hundred twenty billion, three hundred million, twenty-one thousand, four hundred thirty-one".

Divisors: 1 13 47 169 611 1117 2197 2777 7943 14521 36101 52499 103259 130519 188773 469313 682487 1696747 2454049 3101909 6101069 8872331 22057711 40324817 115340303 145789723 286750243 524222621 1895266399 6814894073 24638463187 320300021431