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13103020125 = 325313895933
BaseRepresentation
bin11000011010000000…
…00011100001011101
31020211011122101111200
430031000003201131
5203313333121000
610004111110113
7642463555566
oct141500034135
936734571450
1013103020125
115614349a58
122658212339
13130a832060
148c430516d
1551a501500
hex30d00385d

13103020125 has 48 divisors (see below), whose sum is σ = 25437358128. Its totient is φ = 6450710400.

The previous prime is 13103020093. The next prime is 13103020127. The reversal of 13103020125 is 52102030131.

It can be written as a sum of positive squares in 8 ways, for example, as 7963420644 + 5139599481 = 89238^2 + 71691^2 .

It is not a de Polignac number, because 13103020125 - 25 = 13103020093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13103020098 and 13103020107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103020127) 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 47 ways as a sum of consecutive naturals, for example, 433342 + ... + 462591.

It is an arithmetic number, because the mean of its divisors is an integer number (529944961).

Almost surely, 213103020125 is an apocalyptic number.

13103020125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13103020125 is a deficient number, since it is larger than the sum of its proper divisors (12334338003).

13103020125 is a wasteful number, since it uses less digits than its factorization.

13103020125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895967 (or 895954 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13103020125 its reverse (52102030131), we get a palindrome (65205050256).

The spelling of 13103020125 in words is "thirteen billion, one hundred three million, twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 14625 895933 2687799 4479665 8063397 11647129 13438995 22398325 34941387 40316985 58235645 67194975 104824161 111991625 174706935 201584925 291178225 335974875 524120805 873534675 1007924625 1455891125 2620604025 4367673375 13103020125