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13212412143300 = 2234527349221957
BaseRepresentation
bin1100000001000100000100…
…1000011110011011000100
31201210002112201102102110000
43000101001020132123010
53212433010002041200
644033410502001300
72532364614131166
oct300210110363304
951702481372400
1013212412143300
114234397231967
1215947a2116230
1374ac04642986
143396ac76a936
1517da4263d300
hexc044121e6c4

13212412143300 has 180 divisors, whose sum is σ = 42835441364100. Its totient is φ = 3522814606080.

The previous prime is 13212412143277. The next prime is 13212412143319. The reversal of 13212412143300 is 334121421231.

13212412143300 is a `hidden beast` number, since 1 + 3 + 212 + 4 + 1 + 2 + 143 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 444539560644 + 12767872582656 = 666738^2 + 3573216^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59415922 + ... + 59637878.

It is an arithmetic number, because the mean of its divisors is an integer number (237974674245).

Almost surely, 213212412143300 is an apocalyptic number.

13212412143300 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 13212412143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417720682050).

13212412143300 is an abundant number, since it is smaller than the sum of its proper divisors (29623029220800).

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

13212412143300 is a wasteful number, since it uses less digits than its factorization.

13212412143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229332 (or 229316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13212412143300 its reverse (334121421231), we get a palindrome (13546533564531).

The spelling of 13212412143300 in words is "thirteen trillion, two hundred twelve billion, four hundred twelve million, one hundred forty-three thousand, three hundred".