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106561044224 = 281181352459
BaseRepresentation
bin110001100111110001…
…0000111111100000000
3101012001102101220220122
41203033202013330000
53221214111403344
6120541540555412
710461452634215
oct1431742077400
9335042356818
10106561044224
1141212a277a8
121879b0b2b68
13a082bb492b
14522c595b0c
152b8a247aee
hex18cf887f00

106561044224 has 36 divisors (see below), whose sum is σ = 212886544920. Its totient is φ = 53235256320.

The previous prime is 106561044221. The next prime is 106561044229. The reversal of 106561044224 is 422440165601.

106561044224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065610442242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561044221) 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 3 ways as a sum of consecutive naturals, for example, 126107 + ... + 478565.

Almost surely, 2106561044224 is an apocalyptic number.

It is an amenable number.

106561044224 is a deficient number, since it is larger than the sum of its proper divisors (106325500696).

106561044224 is an equidigital number, since it uses as much as digits as its factorization.

106561044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353656 (or 353642 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 106561044224 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 1181 2362 4724 9448 18896 37792 75584 151168 302336 352459 704918 1409836 2819672 5639344 11278688 22557376 45114752 90229504 416254079 832508158 1665016316 3330032632 6660065264 13320130528 26640261056 53280522112 106561044224