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30411222232041 = 3273232083205627
BaseRepresentation
bin1101110101000101010100…
…00110010010101111101001
310222200021200100212120202200
412322202222012102233221
512441224140342411131
6144402420030450413
76256065302604000
oct672425206225751
9128607610776680
1030411222232041
119765366149492
1234b1a94963a09
1313c79c5a44581
14771ca7b4bc37
1537b0eba0d2e6
hex1ba8aa192be9

30411222232041 has 96 divisors (see below), whose sum is σ = 53480388249600. Its totient is φ = 16614222188256.

The previous prime is 30411222232033. The next prime is 30411222232043. The reversal of 30411222232041 is 14023222211403.

30411222232041 is a `hidden beast` number, since 3 + 0 + 4 + 112 + 222 + 320 + 4 + 1 = 666.

It is not a de Polignac number, because 30411222232041 - 23 = 30411222232033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30411222231996 and 30411222232014.

It is not an unprimeable number, because it can be changed into a prime (30411222232043) 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 95 ways as a sum of consecutive naturals, for example, 147792270 + ... + 147997896.

It is an arithmetic number, because the mean of its divisors is an integer number (557087377600).

Almost surely, 230411222232041 is an apocalyptic number.

It is an amenable number.

30411222232041 is a deficient number, since it is larger than the sum of its proper divisors (23069166017559).

30411222232041 is a wasteful number, since it uses less digits than its factorization.

30411222232041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207760 (or 207743 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30411222232041 its reverse (14023222211403), we get a palindrome (44434444443444).

The spelling of 30411222232041 in words is "thirty trillion, four hundred eleven billion, two hundred twenty-two million, two hundred thirty-two thousand, forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 343 441 483 1029 1127 1449 2083 3087 3381 6249 7889 10143 14581 18747 23667 43743 47909 71001 102067 131229 143727 205627 306201 335363 431181 616881 714469 918603 1006089 1439389 1850643 2143407 2347541 3018267 4318167 4729421 6430221 7042623 10075723 12954501 14188263 16432787 21127869 30227169 33105947 42564789 49298361 70530061 90681507 99317841 147895083 211590183 231741629 297953523 428321041 634770549 695224887 1284963123 1622191403 2085674661 2998247287 3854889369 4866574209 8994741861 9851383943 14599722627 20987731009 26984225583 29554151829 62963193027 68959687601 88662455487 146914117063 188889579081 206879062803 440742351189 482717813207 620637188409 1322227053567 1448153439621 3379024692449 4344460318863 10137074077347 30411222232041