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14121220113 = 32711133674271
BaseRepresentation
bin11010010011011000…
…01011100000010001
31100110010120022022100
431021230023200101
5212410013020423
610253122431013
71006636250640
oct151154134021
940403508270
1014121220113
115a97073750
1228a1202469
131440772260
1497d62d357
15579aca343
hex349b0b811

14121220113 has 96 divisors (see below), whose sum is σ = 27467661312. Its totient is φ = 6751382400.

The previous prime is 14121220103. The next prime is 14121220121. The reversal of 14121220113 is 31102212141.

It is not a de Polignac number, because 14121220113 - 26 = 14121220049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14121220103) 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, 3304168 + ... + 3308438.

It is an arithmetic number, because the mean of its divisors is an integer number (286121472).

Almost surely, 214121220113 is an apocalyptic number.

14121220113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14121220113 is a deficient number, since it is larger than the sum of its proper divisors (13346441199).

14121220113 is a wasteful number, since it uses less digits than its factorization.

14121220113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4672 counting only the distinct ones).

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

Adding to 14121220113 its reverse (31102212141), we get a palindrome (45223432254).

The spelling of 14121220113 in words is "fourteen billion, one hundred twenty-one million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 367 429 693 819 1001 1101 1287 2569 3003 3303 4037 4271 4771 7707 9009 12111 12813 14313 23121 28259 29897 33397 36333 38439 42939 46981 52481 55523 84777 89691 100191 140943 157443 166569 254331 269073 300573 328867 367367 388661 422829 472329 499707 610753 986601 1102101 1165983 1567457 1832259 2959803 3306303 3497949 4275271 4702371 5496777 10972199 12825813 14107113 17242027 20376941 32916597 38477439 51726081 61130823 98749791 120694189 142638587 155178243 183392469 224146351 362082567 427915761 672439053 1086247701 1283747283 1569024457 2017317159 4707073371 14121220113