Search a number
-
+
114110014221 = 33747101193659
BaseRepresentation
bin110101001000101111…
…1001010001100001101
3101220112112010022222000
41222101133022030031
53332144130423341
6124231005342513
711146516055130
oct1522137121415
9356475108860
10114110014221
1144437145685
121a147267a39
13a9b6b5a298
145746db4217
152e7cd4e8b6
hex1a917ca30d

114110014221 has 128 divisors (see below), whose sum is σ = 200602828800. Its totient is φ = 62763724800.

The previous prime is 114110014211. The next prime is 114110014259. The reversal of 114110014221 is 122410011411.

114110014221 is a `hidden beast` number, since 1 + 141 + 100 + 1 + 422 + 1 = 666.

It is not a de Polignac number, because 114110014221 - 210 = 114110013197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114110014194 and 114110014203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114110014201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173155990 + ... + 173156648.

It is an arithmetic number, because the mean of its divisors is an integer number (1567209600).

Almost surely, 2114110014221 is an apocalyptic number.

It is an amenable number.

114110014221 is a deficient number, since it is larger than the sum of its proper divisors (86492814579).

114110014221 is a wasteful number, since it uses less digits than its factorization.

114110014221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114110014221 its reverse (122410011411), we get a palindrome (236520025632).

The spelling of 114110014221 in words is "one hundred fourteen billion, one hundred ten million, fourteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 47 63 101 141 189 193 303 329 423 579 659 707 909 987 1269 1351 1737 1977 2121 2727 2961 4053 4613 4747 5211 5931 6363 8883 9071 12159 13839 14241 17793 19089 19493 27213 30973 33229 36477 41517 42723 58479 63497 66559 81639 92919 99687 124551 127187 128169 136451 175437 190491 199677 216811 244917 278757 299061 381561 409353 465913 526311 571473 599031 650433 836271 890309 897183 916171 1144683 1228059 1397739 1714419 1797093 1951299 2670927 2748513 3128273 3434049 3684177 4193217 5853897 5977789 6413197 8012781 8245539 9384819 12579651 12845887 17933367 19239591 21897911 24038343 24736617 28154457 38537661 41844523 53800101 57718773 65693733 84463371 89921209 115612983 125533569 161400303 173156319 197081199 269763627 346838949 376600707 591243597 603756689 809290881 1129802121 1811270067 2427872643 4226296823 5433810201 12678890469 16301430603 38036671407 114110014221