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114223133141 = 13298314924499
BaseRepresentation
bin110101001100000111…
…0101011000111010101
3101220211101222100221122
41222120032223013111
53332412110230031
6124250130053325
711152361416655
oct1523016530725
9356741870848
10114223133141
1144494a87597
121a17911a245
13aa04415160
14575801c365
152e87c4647b
hex1a983ab1d5

114223133141 has 32 divisors (see below), whose sum is σ = 129654000000. Its totient is φ = 99895396608.

The previous prime is 114223133099. The next prime is 114223133149. The reversal of 114223133141 is 141331322411.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114223133141 is a prime.

It is a super-2 number, since 2×1142231331412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114223133141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223133149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4650110 + ... + 4674608.

It is an arithmetic number, because the mean of its divisors is an integer number (4051687500).

Almost surely, 2114223133141 is an apocalyptic number.

It is an amenable number.

114223133141 is a deficient number, since it is larger than the sum of its proper divisors (15430866859).

114223133141 is a wasteful number, since it uses less digits than its factorization.

114223133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24773.

The product of its digits is 1728, while the sum is 26.

Adding to 114223133141 its reverse (141331322411), we get a palindrome (255554455552).

The spelling of 114223133141 in words is "one hundred fourteen billion, two hundred twenty-three million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 13 29 83 149 377 1079 1937 2407 4321 12367 24499 31291 56173 160771 318487 358643 710471 2033417 3650351 4662359 9236123 26434421 47454563 58969093 105860179 302979133 766598209 1376182327 3938728729 8786394857 114223133141