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13203412100 = 2252177766713
BaseRepresentation
bin11000100101111110…
…00001010010000100
31021002011112211101222
430102333001102010
5204020033141400
610022054535512
7645123102554
oct142277012204
937064484358
1013203412100
115665a88a2a
122685967598
1313255820a8
148d3799164
15524232185
hex312fc1484

13203412100 has 36 divisors (see below), whose sum is σ = 30336784884. Its totient is φ = 4970695680.

The previous prime is 13203412093. The next prime is 13203412109. The reversal of 13203412100 is 121430231.

It can be written as a sum of positive squares in 6 ways, for example, as 17023876 + 13186388224 = 4126^2 + 114832^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13203412109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3881657 + ... + 3885056.

It is an arithmetic number, because the mean of its divisors is an integer number (842688469).

Almost surely, 213203412100 is an apocalyptic number.

13203412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13203412100 is an abundant number, since it is smaller than the sum of its proper divisors (17133372784).

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

13203412100 is a wasteful number, since it uses less digits than its factorization.

13203412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766744 (or 7766737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13203412100 its reverse (121430231), we get a palindrome (13324842331).

The spelling of 13203412100 in words is "thirteen billion, two hundred three million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7766713 15533426 31066852 38833565 77667130 132034121 155334260 194167825 264068242 388335650 528136484 660170605 776671300 1320341210 2640682420 3300853025 6601706050 13203412100