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10041334432330 = 253782932736721
BaseRepresentation
bin1001001000011110111000…
…1011000000001001001010
31022112221102212020222100111
42102013232023000021022
52304004123103313310
633204531513224534
72054314425254335
oct222075613001112
938487385228314
1010041334432330
1132215625678a3
1211620b270214a
1357ab808102c6
1426a008a2161c
151262e8b6c28a
hex921ee2c024a

10041334432330 has 32 divisors (see below), whose sum is σ = 18585291813840. Its totient is φ = 3903264599040.

The previous prime is 10041334432313. The next prime is 10041334432333. The reversal of 10041334432330 is 3323443314001.

It can be written as a sum of positive squares in 8 ways, for example, as 4450838309401 + 5590496122929 = 2109701^2 + 2364423^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10041334432292 and 10041334432301.

It is not an unprimeable number, because it can be changed into a prime (10041334432333) 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, 16061631 + ... + 16675090.

Almost surely, 210041334432330 is an apocalyptic number.

10041334432330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10041334432330 is a deficient number, since it is larger than the sum of its proper divisors (8543957381510).

10041334432330 is a wasteful number, since it uses less digits than its factorization.

10041334432330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32737594.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 10041334432330 its reverse (3323443314001), we get a palindrome (13364777746331).

The spelling of 10041334432330 in words is "ten trillion, forty-one billion, three hundred thirty-four million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 37 74 185 370 829 1658 4145 8290 30673 61346 153365 306730 32736721 65473442 163683605 327367210 1211258677 2422517354 6056293385 12112586770 27138741709 54277483418 135693708545 271387417090 1004133443233 2008266886466 5020667216165 10041334432330