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103013125 = 54164821
BaseRepresentation
bin1100010001111…
…01101100000101
321011211121102221
412020331230011
5202332410000
614115532341
72360411545
oct610755405
9234747387
10103013125
115316a316
122a5ba0b1
131845a117
14d977325
15909c61a
hex623db05

103013125 has 10 divisors (see below), whose sum is σ = 128725982. Its totient is φ = 82410000.

The previous prime is 103013123. The next prime is 103013153. The reversal of 103013125 is 521310301.

It can be written as a sum of positive squares in 5 ways, for example, as 57017601 + 45995524 = 7551^2 + 6782^2 .

It is not a de Polignac number, because 103013125 - 21 = 103013123 is a prime.

It is a super-3 number, since 3×1030131253 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103013099 and 103013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81786 + ... + 83035.

Almost surely, 2103013125 is an apocalyptic number.

It is an amenable number.

103013125 is a deficient number, since it is larger than the sum of its proper divisors (25712857).

103013125 is an frugal number, since it uses more digits than its factorization.

103013125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164841 (or 164826 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 103013125 is about 10149.5381668330. The cubic root of 103013125 is about 468.7747246218.

Adding to 103013125 its reverse (521310301), we get a palindrome (624323426).

The spelling of 103013125 in words is "one hundred three million, thirteen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 625 164821 824105 4120525 20602625 103013125