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106224666443 = 7413117271637
BaseRepresentation
bin110001011101101111…
…0111100011101001011
3101011011222110011100022
41202323132330131023
53220022003311233
6120444323131055
710450226524040
oct1427336743513
9334158404308
10106224666443
1141060067135
1218706513a8b
13a02b2bac1c
1451d9a331c7
152b6a950398
hex18bb7bc74b

106224666443 has 32 divisors (see below), whose sum is σ = 125008386048. Its totient is φ = 88367558400.

The previous prime is 106224666419. The next prime is 106224666451. The reversal of 106224666443 is 344666422601.

It is a cyclic number.

It is not a de Polignac number, because 106224666443 - 226 = 106157557579 is a prime.

It is a super-3 number, since 3×1062246664433 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106224666394 and 106224666403.

It is not an unprimeable number, because it can be changed into a prime (106224666143) 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 31 ways as a sum of consecutive naturals, for example, 64889021 + ... + 64890657.

It is an arithmetic number, because the mean of its divisors is an integer number (3906512064).

Almost surely, 2106224666443 is an apocalyptic number.

106224666443 is a deficient number, since it is larger than the sum of its proper divisors (18783719605).

106224666443 is a wasteful number, since it uses less digits than its factorization.

106224666443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723.

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 106224666443 in words is "one hundred six billion, two hundred twenty-four million, six hundred sixty-six thousand, four hundred forty-three".

Divisors: 1 7 41 287 311 727 1637 2177 5089 11459 12751 29807 67117 89257 208649 226097 469819 509107 1190099 1582679 3563749 8330693 9269977 20873387 48794059 64889839 146113709 341558413 370120789 2590845523 15174952349 106224666443