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30461100217 = 899731311273
BaseRepresentation
bin11100010111100111…
…111000000010111001
32220121212221012221221
4130113213320002321
5444341020201332
621554343032041
72125566036232
oct342747700271
986555835857
1030461100217
1111a11551499
125aa143b621
132b45a7a372
14168d796089
15bd435b297
hex7179f80b9

30461100217 has 16 divisors (see below), whose sum is σ = 31223117520. Its totient is φ = 29710467072.

The previous prime is 30461100209. The next prime is 30461100221. The reversal of 30461100217 is 71200116403.

It can be written as a sum of positive squares in 8 ways, for example, as 11868141481 + 18592958736 = 108941^2 + 136356^2 .

It is a cyclic number.

It is not a de Polignac number, because 30461100217 - 23 = 30461100209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30461100191 and 30461100200.

It is not an unprimeable number, because it can be changed into a prime (30461110217) 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 15 ways as a sum of consecutive naturals, for example, 2696493 + ... + 2707765.

It is an arithmetic number, because the mean of its divisors is an integer number (1951444845).

Almost surely, 230461100217 is an apocalyptic number.

It is an amenable number.

30461100217 is a deficient number, since it is larger than the sum of its proper divisors (762017303).

30461100217 is a wasteful number, since it uses less digits than its factorization.

30461100217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772.

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 30461100217 in words is "thirty billion, four hundred sixty-one million, one hundred thousand, two hundred seventeen".

Divisors: 1 89 97 313 8633 11273 27857 30361 1003297 1093481 2702129 3528449 97319809 314031961 342259553 30461100217