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2000103525 = 325271269907
BaseRepresentation
bin111011100110111…
…0010100001100101
312011101112210020100
41313031302201211
513044011303100
6530245054313
7100364412420
oct16715624145
95141483210
102000103525
11937008422
124799b7399
1325b4b2514
1414d8c49b7
15ba8d3400
hex77372865

2000103525 has 36 divisors (see below), whose sum is σ = 4094183392. Its totient is φ = 914332320.

The previous prime is 2000103517. The next prime is 2000103587. The reversal of 2000103525 is 5253010002.

It is a happy number.

It is not a de Polignac number, because 2000103525 - 23 = 2000103517 is a prime.

It is a super-2 number, since 2×20001035252 = 8000828221434851250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000103498 and 2000103507.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 633379 + ... + 636528.

Almost surely, 22000103525 is an apocalyptic number.

2000103525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2000103525 is an abundant number, since it is smaller than the sum of its proper divisors (2094079867).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000103525 is a wasteful number, since it uses less digits than its factorization.

2000103525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269930 (or 1269922 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2000103525 is about 44722.5169797050. The cubic root of 2000103525 is about 1259.9427884076.

Adding to 2000103525 its reverse (5253010002), we get a palindrome (7253113527).

The spelling of 2000103525 in words is "two billion, one hundred three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 1269907 3809721 6349535 8889349 11429163 19048605 26668047 31747675 44446745 57145815 80004141 95243025 133340235 222233725 285729075 400020705 666701175 2000103525