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103314330441 = 3471921313853
BaseRepresentation
bin110000000111000000…
…0111001001101001001
3100212200011010202220000
41200032000321031021
53143041432033231
6115243440353213
710315140214320
oct1401600711511
9325604122800
10103314330441
113a8a7278673
1218033915809
13998636b70a
1450012cb0b7
152a4a1bd6e6
hex180e039349

103314330441 has 120 divisors (see below), whose sum is σ = 187622956224. Its totient is φ = 55488214080.

The previous prime is 103314330409. The next prime is 103314330461. The reversal of 103314330441 is 144033413301.

103314330441 is a `hidden beast` number, since 1 + 0 + 3 + 314 + 3 + 304 + 41 = 666.

It is not a de Polignac number, because 103314330441 - 25 = 103314330409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103314330461) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26812071 + ... + 26815923.

Almost surely, 2103314330441 is an apocalyptic number.

It is an amenable number.

103314330441 is a deficient number, since it is larger than the sum of its proper divisors (84308625783).

103314330441 is a wasteful number, since it uses less digits than its factorization.

103314330441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103314330441 its reverse (144033413301), we get a palindrome (247347743742).

The spelling of 103314330441 in words is "one hundred three billion, three hundred fourteen million, three hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 131 133 171 189 361 393 399 513 567 917 1083 1179 1197 1539 2489 2527 2751 3249 3537 3591 3853 7467 7581 8253 9747 10611 10773 11559 17423 22401 22743 24759 26971 29241 34677 47291 52269 67203 68229 73207 74277 80913 104031 141873 156807 201609 204687 219621 242739 312093 331037 425619 470421 504743 512449 658863 728217 993111 1276857 1390933 1411263 1514229 1537347 1976589 2184651 2979333 3533201 3830571 4172799 4542687 4612041 5929767 8937999 9590117 9736531 10599603 12518397 13628061 13836123 26813997 28770351 29209593 31798809 37555191 40884183 41508369 67130819 86311053 87628779 95396427 112665573 182212223 201392457 258933159 262886337 286189281 546636669 604177371 776799477 788659011 1275485561 1639910007 1812532113 3826456683 4919730021 5437596339 11479370049 14759190063 34438110147 103314330441