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1005110125 = 5317472993
BaseRepresentation
bin111011111010001…
…100001101101101
32121001021212212221
4323322030031231
54024302011000
6243422555341
733623203135
oct7372141555
92531255787
101005110125
114763a4128
12240738b51
13130309126
14976bbac5
155d39061a
hex3be8c36d

1005110125 has 16 divisors (see below), whose sum is σ = 1328167152. Its totient is φ = 756787200.

The previous prime is 1005110123. The next prime is 1005110147. The reversal of 1005110125 is 5210115001.

It can be written as a sum of positive squares in 8 ways, for example, as 12482089 + 992628036 = 3533^2 + 31506^2 .

It is not a de Polignac number, because 1005110125 - 21 = 1005110123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005110099 and 1005110108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005110123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234372 + ... + 238621.

It is an arithmetic number, because the mean of its divisors is an integer number (83010447).

Almost surely, 21005110125 is an apocalyptic number.

It is an amenable number.

1005110125 is a deficient number, since it is larger than the sum of its proper divisors (323057027).

1005110125 is an equidigital number, since it uses as much as digits as its factorization.

1005110125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473025 (or 473015 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 1005110125 is about 31703.4718130365. The cubic root of 1005110125 is about 1001.7004817229.

Adding to 1005110125 its reverse (5210115001), we get a palindrome (6215225126).

The spelling of 1005110125 in words is "one billion, five million, one hundred ten thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 472993 2364965 8040881 11824825 40204405 59124125 201022025 1005110125