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114201310041 = 327133710735221
BaseRepresentation
bin110101001011011101…
…1011011001101011001
3101220202212220122021200
41222112323123031121
53332341013410131
6124244030224413
711152005055530
oct1522673331531
9356685818250
10114201310041
1144483731575
121a171955109
13a9cca43c90
14575517b317
152e85d852e6
hex1a96edb359

114201310041 has 96 divisors (see below), whose sum is σ = 210466384128. Its totient is φ = 58060592640.

The previous prime is 114201310031. The next prime is 114201310079. The reversal of 114201310041 is 140013102411.

114201310041 is a `hidden beast` number, since 114 + 201 + 310 + 0 + 41 = 666.

It is not a de Polignac number, because 114201310041 - 223 = 114192921433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114201309996 and 114201310023.

It is not an unprimeable number, because it can be changed into a prime (114201310001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3224811 + ... + 3260031.

It is an arithmetic number, because the mean of its divisors is an integer number (2192358168).

Almost surely, 2114201310041 is an apocalyptic number.

It is an amenable number.

114201310041 is a deficient number, since it is larger than the sum of its proper divisors (96265074087).

114201310041 is a wasteful number, since it uses less digits than its factorization.

114201310041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35391 (or 35388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114201310041 its reverse (140013102411), we get a palindrome (254214412452).

The spelling of 114201310041 in words is "one hundred fourteen billion, two hundred one million, three hundred ten thousand, forty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 107 111 117 259 273 321 333 481 749 777 819 963 1391 1443 2247 2331 3367 3959 4173 4329 6741 9737 10101 11877 12519 27713 29211 30303 35221 35631 51467 83139 87633 105663 154401 246547 249417 316989 360269 457873 463203 739641 1080807 1303177 1373619 2218923 3205111 3242421 3768647 3909531 4120857 9122239 9615333 11305941 11728593 16941301 26380529 27366717 28845999 33917823 48992411 50823903 79141587 82100151 118589107 139439939 146977233 152471709 237424761 342946877 355767321 418319817 440931699 976079573 1028840631 1067301963 1254959451 1812719207 2928238719 3086521893 5438157621 8784716157 12689034449 16314472863 38067103347 114201310041