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13012300 = 2252729641
BaseRepresentation
bin110001101000…
…110101001100
3220111002112001
4301220311030
511312343200
61142522044
7215413510
oct61506514
926432461
1013012300
117388374
124436324
1329079b2
141a2a140
15122076a
hexc68d4c

13012300 has 72 divisors (see below), whose sum is σ = 33435360. Its totient is φ = 4300800.

The previous prime is 13012291. The next prime is 13012301. The reversal of 13012300 is 321031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19980 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (464380).

Almost surely, 213012300 is an apocalyptic number.

13012300 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 13012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717680).

13012300 is an abundant number, since it is smaller than the sum of its proper divisors (20423060).

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

13012300 is a wasteful number, since it uses less digits than its factorization.

13012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

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

The square root of 13012300 is about 3607.2565752938. The cubic root of 13012300 is about 235.2076028748.

Adding to 13012300 its reverse (321031), we get a palindrome (13333331).

The spelling of 13012300 in words is "thirteen million, twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 641 700 725 812 1015 1282 1450 2030 2564 2900 3205 4060 4487 5075 6410 8974 10150 12820 16025 17948 18589 20300 22435 32050 37178 44870 64100 74356 89740 92945 112175 130123 185890 224350 260246 371780 448700 464725 520492 650615 929450 1301230 1858900 2602460 3253075 6506150 13012300