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13012000300 = 22521310397177
BaseRepresentation
bin11000001111001001…
…10101111000101100
31020120211101002210001
430013210311320230
5203122033002200
65551100154044
7640310114635
oct140744657054
936524332701
1013012000300
115577a31462
122631838924
1312c4a13b80
148b61b088c
1551252276a
hex307935e2c

13012000300 has 72 divisors (see below), whose sum is σ = 30703583456. Its totient is φ = 4757736960.

The previous prime is 13012000247. The next prime is 13012000321. The reversal of 13012000300 is 300021031.

13012000300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 85312 + ... + 182488.

Almost surely, 213012000300 is an apocalyptic number.

13012000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351791728).

13012000300 is an abundant number, since it is smaller than the sum of its proper divisors (17691583156).

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

13012000300 is a wasteful number, since it uses less digits than its factorization.

13012000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97307 (or 97300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13012000300 its reverse (300021031), we get a palindrome (13312021331).

The spelling of 13012000300 in words is "thirteen billion, twelve million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 412 515 650 1030 1300 1339 2060 2575 2678 5150 5356 6695 10300 13390 26780 33475 66950 97177 133900 194354 388708 485885 971770 1263301 1943540 2429425 2526602 4858850 5053204 6316505 9717700 10009231 12633010 20018462 25266020 31582525 40036924 50046155 63165050 100092310 126330100 130120003 200184620 250230775 260240006 500461550 520480012 650600015 1000923100 1301200030 2602400060 3253000075 6506000150 13012000300