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30144310101 = 32291051109891
BaseRepresentation
bin11100000100101111…
…011010101101010101
32212210210211121121200
4130010233122231111
5443213420410401
621503105103113
72115001260003
oct340457325525
985723747550
1030144310101
111186974a384
125a13327a99
132ac52511a9
14165d691a73
15bb6632686
hex704bdab55

30144310101 has 24 divisors (see below), whose sum is σ = 45086489760. Its totient is φ = 19384596000.

The previous prime is 30144310067. The next prime is 30144310111. The reversal of 30144310101 is 10101344103.

30144310101 is a `hidden beast` number, since 301 + 44 + 310 + 10 + 1 = 666.

It is not a de Polignac number, because 30144310101 - 27 = 30144309973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144310111) 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 23 ways as a sum of consecutive naturals, for example, 219366 + ... + 329256.

It is an arithmetic number, because the mean of its divisors is an integer number (1878603740).

Almost surely, 230144310101 is an apocalyptic number.

It is an amenable number.

30144310101 is a deficient number, since it is larger than the sum of its proper divisors (14942179659).

30144310101 is a wasteful number, since it uses less digits than its factorization.

30144310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110977 (or 110974 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30144310101 its reverse (10101344103), we get a palindrome (40245654204).

The spelling of 30144310101 in words is "thirty billion, one hundred forty-four million, three hundred ten thousand, one hundred one".

Divisors: 1 3 9 29 87 261 1051 3153 9459 30479 91437 109891 274311 329673 989019 3186839 9560517 28681551 115495441 346486323 1039458969 3349367789 10048103367 30144310101