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30104051442135 = 3511613181940259
BaseRepresentation
bin1101101100001001001010…
…10010101110000111010111
310221120220211002211200112020
412312010211102232013113
512421211044132122020
6144005335454424223
76224642313143316
oct666044522560727
9127526732750466
1030104051442135
119657069256640
123462449b02073
1313a4a52412018
1476108851227d
1537311ea4ac40
hex1b61254ae1d7

30104051442135 has 64 divisors (see below), whose sum is σ = 53423497105920. Its totient is φ = 14352098112000.

The previous prime is 30104051442119. The next prime is 30104051442139. The reversal of 30104051442135 is 53124415040103.

It is not a de Polignac number, because 30104051442135 - 24 = 30104051442119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 30104051442096 and 30104051442105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30104051442139) 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 63 ways as a sum of consecutive naturals, for example, 31546636 + ... + 32486894.

It is an arithmetic number, because the mean of its divisors is an integer number (834742142280).

Almost surely, 230104051442135 is an apocalyptic number.

30104051442135 is a deficient number, since it is larger than the sum of its proper divisors (23319445663785).

30104051442135 is a wasteful number, since it uses less digits than its factorization.

30104051442135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943520.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 30104051442135 its reverse (53124415040103), we get a palindrome (83228466482238).

The spelling of 30104051442135 in words is "thirty trillion, one hundred four billion, fifty-one million, four hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 61 165 183 305 671 915 2013 3181 3355 9543 10065 15905 34991 47715 104973 174955 194041 524865 582123 940259 970205 2134451 2820777 2910615 4701295 6403353 10342849 10672255 14103885 31028547 32016765 51714245 57355799 155142735 172067397 286778995 630913789 860336985 1892741367 2990963879 3154568945 8972891637 9463706835 14954819395 32900602669 44864458185 98701808007 164503013345 182448796619 493509040035 547346389857 912243983095 2006936762809 2736731949285 6020810288427 10034683814045 30104051442135