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13212413300 = 2252193684581
BaseRepresentation
bin11000100111000010…
…10110110101110100
31021002210111010201202
430103201112311310
5204024334211200
610023015512032
7645262442252
oct142341266564
937083433652
1013212413300
115670076739
122688988618
1313273b4148
148d4a5d5d2
15524e0e1d5
hex313856d74

13212413300 has 36 divisors (see below), whose sum is σ = 28819533036. Its totient is φ = 5257574400.

The previous prime is 13212413297. The next prime is 13212413317. The reversal of 13212413300 is 331421231.

13212413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4540333924 + 8672079376 = 67382^2 + 93124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 322991 + ... + 361590.

Almost surely, 213212413300 is an apocalyptic number.

13212413300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212413300 is an abundant number, since it is smaller than the sum of its proper divisors (15607119736).

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

13212413300 is a wasteful number, since it uses less digits than its factorization.

13212413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684788 (or 684781 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13212413300 its reverse (331421231), we get a palindrome (13543834531).

The spelling of 13212413300 in words is "thirteen billion, two hundred twelve million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 9650 19300 684581 1369162 2738324 3422905 6845810 13691620 17114525 34229050 68458100 132124133 264248266 528496532 660620665 1321241330 2642482660 3303103325 6606206650 13212413300