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1332106125 = 3537683743
BaseRepresentation
bin100111101100110…
…0101001110001101
310102211121000001220
41033121211032031
510212004344000
6340103353553
745003500220
oct11731451615
93384530056
101332106125
11623a37059
123121528b9
13182c9979c
14c8cbb5b7
157be331a0
hex4f66538d

1332106125 has 64 divisors (see below), whose sum is σ = 2540408832. Its totient is φ = 607252800.

The previous prime is 1332106121. The next prime is 1332106133. The reversal of 1332106125 is 5216012331.

It is not a de Polignac number, because 1332106125 - 22 = 1332106121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332106095 and 1332106104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332106121) 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 63 ways as a sum of consecutive naturals, for example, 1792504 + ... + 1793246.

It is an arithmetic number, because the mean of its divisors is an integer number (39693888).

Almost surely, 21332106125 is an apocalyptic number.

1332106125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1332106125 is a deficient number, since it is larger than the sum of its proper divisors (1208302707).

1332106125 is an equidigital number, since it uses as much as digits as its factorization.

1332106125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1332106125 is about 36498.0290563751. The cubic root of 1332106125 is about 1100.3046332581.

Adding to 1332106125 its reverse (5216012331), we get a palindrome (6548118456).

The spelling of 1332106125 in words is "one billion, three hundred thirty-two million, one hundred six thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 683 743 875 2049 2229 2625 3415 3715 4781 5201 10245 11145 14343 15603 17075 18575 23905 26005 51225 55725 71715 78015 85375 92875 119525 130025 256125 278625 358575 390075 507469 597625 650125 1522407 1792875 1950375 2537345 3552283 7612035 10656849 12686725 17761415 38060175 53284245 63433625 88807075 190300875 266421225 444035375 1332106125