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114116365335 = 35721213127997
BaseRepresentation
bin110101001000111011…
…1011000110000010111
3101220112222002000001110
41222101313120300113
53332202242142320
6124231353430103
711146624046400
oct1522167306027
9356488060043
10114116365335
114443a793335
121a14940b333
13a9b827203b
145747b889a7
152e7d6a65e0
hex1a91dd8c17

114116365335 has 48 divisors (see below), whose sum is σ = 212572934496. Its totient is φ = 52124067072.

The previous prime is 114116365247. The next prime is 114116365351. The reversal of 114116365335 is 533563611411.

It is not a de Polignac number, because 114116365335 - 213 = 114116357143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114116365293 and 114116365302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827557 + ... + 955553.

It is an arithmetic number, because the mean of its divisors is an integer number (4428602802).

Almost surely, 2114116365335 is an apocalyptic number.

114116365335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114116365335 is a deficient number, since it is larger than the sum of its proper divisors (98456569161).

114116365335 is a wasteful number, since it uses less digits than its factorization.

114116365335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129232 (or 129225 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

Adding to 114116365335 its reverse (533563611411), we get a palindrome (647679976746).

The spelling of 114116365335 in words is "one hundred fourteen billion, one hundred sixteen million, three hundred sixty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 1213 3639 6065 8491 18195 25473 42455 59437 127365 127997 178311 297185 383991 639985 891555 895979 1919955 2687937 4479895 6271853 13439685 18815559 31359265 94077795 155260361 465781083 776301805 1086822527 2328905415 3260467581 5434112635 7607757689 16302337905 22823273067 38038788445 114116365335