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11330415225 = 3252676531151
BaseRepresentation
bin10101000110101100…
…00110101001111001
31002020122011201201100
422203112012221321
5141201041241400
65112150042013
7550530640353
oct124326065171
932218151640
1011330415225
1148947a6728
122242649309
1310b751440c
14796b200d3
15464aaa100
hex2a3586a79

11330415225 has 72 divisors (see below), whose sum is σ = 20646392832. Its totient is φ = 5938416000.

The previous prime is 11330415197. The next prime is 11330415259. The reversal of 11330415225 is 52251403311.

11330415225 is a `hidden beast` number, since 1 + 133 + 0 + 4 + 1 + 522 + 5 = 666.

11330415225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11330415225 - 27 = 11330415097 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9843400 + ... + 9844550.

It is an arithmetic number, because the mean of its divisors is an integer number (286755456).

Almost surely, 211330415225 is an apocalyptic number.

11330415225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11330415225 is a deficient number, since it is larger than the sum of its proper divisors (9315977607).

11330415225 is a wasteful number, since it uses less digits than its factorization.

11330415225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11330415225 its reverse (52251403311), we get a palindrome (63581818536).

The spelling of 11330415225 in words is "eleven billion, three hundred thirty million, four hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 201 225 335 603 653 1005 1151 1675 1959 3015 3265 3453 5025 5755 5877 9795 10359 15075 16325 17265 28775 29385 43751 48975 51795 77117 86325 131253 146925 218755 231351 258975 385585 393759 656265 694053 751603 1093775 1156755 1927925 1968795 2254809 3281325 3470265 3758015 5783775 6764427 9843975 11274045 17351325 18790075 33822135 50357401 56370225 151072203 169110675 251787005 453216609 755361015 1258935025 2266083045 3776805075 11330415225