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114123120111 = 3271113103312263
BaseRepresentation
bin110101001001001000…
…1001001110111101111
3101220120102210011212100
41222102101021313233
53332211004320421
6124232154310143
711150035341540
oct1522221116757
9356512704770
10114123120111
11444435872a0
121a14b728353
13a9b9798750
145748a264c7
152e7e08cc26
hex1a92449def

114123120111 has 96 divisors (see below), whose sum is σ = 221562012672. Its totient is φ = 54666938880.

The previous prime is 114123120091. The next prime is 114123120127. The reversal of 114123120111 is 111021321411.

114123120111 is a `hidden beast` number, since 11 + 412 + 31 + 201 + 11 = 666.

It is not a de Polignac number, because 114123120111 - 223 = 114114731503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123120151) 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, 9300166 + ... + 9312428.

It is an arithmetic number, because the mean of its divisors is an integer number (2307937632).

Almost surely, 2114123120111 is an apocalyptic number.

114123120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114123120111 is a deficient number, since it is larger than the sum of its proper divisors (107438892561).

114123120111 is a wasteful number, since it uses less digits than its factorization.

114123120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13333 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 114123120111 its reverse (111021321411), we get a palindrome (225144441522).

The spelling of 114123120111 in words is "one hundred fourteen billion, one hundred twenty-three million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1033 1287 3003 3099 7231 9009 9297 11363 12263 13429 21693 34089 36789 40287 65079 79541 85841 94003 102267 110367 120861 134893 147719 159419 238623 257523 282009 404679 443157 478257 715869 772569 846027 944251 1034033 1115933 1214037 1329471 1434771 1753609 2832753 3102099 3347799 5260827 8498259 9306297 10043397 12275263 12667679 15782481 36825789 38003037 88673753 110477367 114009111 139344469 164679827 266021259 418033407 494039481 798063777 975411283 1152758789 1254100221 1482118443 1811478097 2926233849 3458276367 5434434291 8778701547 10374829101 12680346679 16303302873 38041040037 114123120111