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230510945601 = 3225612327289
BaseRepresentation
bin1101011010101110000…
…1011110010101000001
3211000222201000022110200
43112223201132111001
512234041300224401
6253521213315413
722440163465116
oct3265341362501
9730881008420
10230510945601
1189839468222
1238811795b69
13189774cc441
14b22a33090d
155ee1d79686
hex35ab85e541

230510945601 has 6 divisors (see below), whose sum is σ = 332960254770. Its totient is φ = 153673963728.

The previous prime is 230510945593. The next prime is 230510945603. The reversal of 230510945601 is 106549015032.

230510945601 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 1 + 0 + 9 + 45 + 601 = 666.

230510945601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 219608453376 + 10902492225 = 468624^2 + 104415^2 .

It is not a de Polignac number, because 230510945601 - 23 = 230510945593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230510945603) 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 5 ways as a sum of consecutive naturals, for example, 12806163636 + ... + 12806163653.

It is an arithmetic number, because the mean of its divisors is an integer number (55493375795).

Almost surely, 2230510945601 is an apocalyptic number.

It is an amenable number.

230510945601 is a deficient number, since it is larger than the sum of its proper divisors (102449309169).

230510945601 is a wasteful number, since it uses less digits than its factorization.

230510945601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25612327295 (or 25612327292 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 230510945601 in words is "two hundred thirty billion, five hundred ten million, nine hundred forty-five thousand, six hundred one".

Divisors: 1 3 9 25612327289 76836981867 230510945601