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114121020114 = 23297229285421
BaseRepresentation
bin110101001001000100…
…1001001001011010010
3101220120021211111012200
41222102021021023102
53332204440120424
6124232041304030
711150011444233
oct1522211111322
9356507744180
10114121020114
1144442382562
121a14aa95016
13a9b921194a
14574863b08a
152e7dcc58c9
hex1a922492d2

114121020114 has 48 divisors (see below), whose sum is σ = 250903063320. Its totient is φ = 37483637760.

The previous prime is 114121020113. The next prime is 114121020121. The reversal of 114121020114 is 411020121411.

It can be written as a sum of positive squares in 4 ways, for example, as 104461472025 + 9659548089 = 323205^2 + 98283^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114121020113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257124 + ... + 542544.

Almost surely, 2114121020114 is an apocalyptic number.

114121020114 is an abundant number, since it is smaller than the sum of its proper divisors (136782043206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114121020114 is a wasteful number, since it uses less digits than its factorization.

114121020114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285755 (or 285752 counting only the distinct ones).

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

Adding to 114121020114 its reverse (411020121411), we get a palindrome (525141141525).

The spelling of 114121020114 in words is "one hundred fourteen billion, one hundred twenty-one million, twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 97 194 229 291 458 582 687 873 1374 1746 2061 4122 22213 44426 66639 133278 199917 285421 399834 570842 856263 1712526 2568789 5137578 27685837 55371674 65361409 83057511 130722818 166115022 196084227 249172533 392168454 498345066 588252681 1176505362 6340056673 12680113346 19020170019 38040340038 57060510057 114121020114