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114334321311 = 347241836713
BaseRepresentation
bin110101001111011011…
…0110100101010011111
3101221010011012022110000
41222132312310222133
53333124041240221
6124305141145343
711155211460510
oct1523666645237
9357104168400
10114334321311
114454181a941
121a1aa3bb253
13aa21475282
145768ac2a07
152e928aae26
hex1a9edb4a9f

114334321311 has 40 divisors (see below), whose sum is σ = 196005274784. Its totient is φ = 65062725120.

The previous prime is 114334321291. The next prime is 114334321351. The reversal of 114334321311 is 113123433411.

114334321311 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 343 + 2 + 1 + 311 = 666.

It is not a de Polignac number, because 114334321311 - 217 = 114334190239 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114334321351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281710 + ... + 555003.

Almost surely, 2114334321311 is an apocalyptic number.

114334321311 is a deficient number, since it is larger than the sum of its proper divisors (81670953473).

114334321311 is an equidigital number, since it uses as much as digits as its factorization.

114334321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836973 (or 836964 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 114334321311 its reverse (113123433411), we get a palindrome (227457754722).

The spelling of 114334321311 in words is "one hundred fourteen billion, three hundred thirty-four million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 189 241 567 723 1687 2169 5061 6507 15183 19521 45549 136647 836713 2510139 5856991 7530417 17570973 22591251 52712919 67773753 158138757 201647833 474416271 604943499 1411534831 1814830497 4234604493 5444491491 12703813479 16333474473 38111440437 114334321311