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105414700227 = 3292274153281
BaseRepresentation
bin110001000101100110…
…1001010110011000011
3101002002112100121120120
41202023031022303003
53211342130401402
6120232110511323
710421163111354
oct1421315126303
9332075317516
10105414700227
1140784939571
121851b205543
139c2c558985
145160231d2b
152b1e7aa3bc
hex188b34acc3

105414700227 has 16 divisors (see below), whose sum is σ = 145408709280. Its totient is φ = 67848883200.

The previous prime is 105414700211. The next prime is 105414700229. The reversal of 105414700227 is 722007414501.

It is not a de Polignac number, because 105414700227 - 24 = 105414700211 is a prime.

It is a super-2 number, since 2×1054147002272 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105414700229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1951827 + ... + 2005107.

It is an arithmetic number, because the mean of its divisors is an integer number (9088044330).

Almost surely, 2105414700227 is an apocalyptic number.

105414700227 is a deficient number, since it is larger than the sum of its proper divisors (39994009053).

105414700227 is a wasteful number, since it uses less digits than its factorization.

105414700227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76054.

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 105414700227 in words is "one hundred five billion, four hundred fourteen million, seven hundred thousand, two hundred twenty-seven".

Divisors: 1 3 29 87 22741 53281 68223 159843 659489 1545149 1978467 4635447 1211663221 3634989663 35138233409 105414700227