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2300004430031 = 721143170958067
BaseRepresentation
bin100001011110000010111…
…100100111000011001111
322010212201021002221120102
4201132002330213003033
5300140402113230111
64520335113041315
7325112153041100
oct41360274470317
98125637087512
102300004430031
118074765a3470
1231190a9b623b
13138b742844a9
147d46c4263a7
153ec65c6413b
hex21782f270cf

2300004430031 has 48 divisors (see below), whose sum is σ = 2988420842880. Its totient is φ = 1749477481920.

The previous prime is 2300004429979. The next prime is 2300004430037. The reversal of 2300004430031 is 1300344000032.

2300004430031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2300004430031 - 238 = 2025126523087 is a prime.

It is a super-2 number, since 2×23000044300312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300004429985 and 2300004430012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300004430037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39580460 + ... + 39638526.

It is an arithmetic number, because the mean of its divisors is an integer number (62258767560).

Almost surely, 22300004430031 is an apocalyptic number.

2300004430031 is a deficient number, since it is larger than the sum of its proper divisors (688416412849).

2300004430031 is a wasteful number, since it uses less digits than its factorization.

2300004430031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59844 (or 59837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2300004430031 its reverse (1300344000032), we get a palindrome (3600348430063).

The spelling of 2300004430031 in words is "two trillion, three hundred billion, four million, four hundred thirty thousand, thirty-one".

Divisors: 1 7 11 43 49 77 301 473 539 1709 2107 3311 11963 18799 23177 58067 73487 83741 131593 406469 514409 638737 808357 921151 2496881 2845283 3600863 4471159 5658499 17478167 27465691 31298113 39609493 99236503 122347169 192259837 694655521 1091601533 1345818859 4267169629 4862588647 7641210731 29870187403 46938865919 53488475117 209091311821 328572061433 2300004430031