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130442414010201 = 321096831733112339
BaseRepresentation
bin11101101010001011111101…
…110000000010111101011001
3122002212011200010000121201100
4131222023331300002331121
5114044132030441311301
61141232230121342013
736322103422561056
oct3552137560027531
9562764603017640
10130442414010201
113862135409a217
1212768744637909
1357a2889128687
14242d63739802d
15101318e86b286
hex76a2fdc02f59

130442414010201 has 48 divisors (see below), whose sum is σ = 190535389387200. Its totient is φ = 85987229429376.

The previous prime is 130442414010191. The next prime is 130442414010217. The reversal of 130442414010201 is 102010414244031.

130442414010201 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 42 + 414 + 0 + 1 + 0 + 201 = 666.

It is not a de Polignac number, because 130442414010201 - 25 = 130442414010169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130442414010001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161093690 + ... + 1161206028.

It is an arithmetic number, because the mean of its divisors is an integer number (3969487278900).

Almost surely, 2130442414010201 is an apocalyptic number.

It is an amenable number.

130442414010201 is a deficient number, since it is larger than the sum of its proper divisors (60092975376999).

130442414010201 is a wasteful number, since it uses less digits than its factorization.

130442414010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114870 (or 114867 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 130442414010201 its reverse (102010414244031), we get a palindrome (232452828254232).

The spelling of 130442414010201 in words is "one hundred thirty trillion, four hundred forty-two billion, four hundred fourteen million, ten thousand, two hundred one".

Divisors: 1 3 9 109 327 683 981 1733 2049 5199 6147 15597 74447 112339 188897 223341 337017 566691 670023 1011051 1183639 1700073 3550917 10652751 12244951 36734853 76727537 110204559 129016651 194683487 230182611 387049953 584050461 690547833 1161149859 1752151383 8363301533 21220500083 25089904599 63661500249 75269713797 132968821621 190984500747 398906464863 1196719394589 14493601556689 43480804670067 130442414010201