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213345032153100 = 223521813929006117
BaseRepresentation
bin110000100000100101000010…
…110110110010100000001100
31000222101120211010000000102020
4300200211002312302200030
5210430421111212344400
62033425204342330140
762636445532103631
oct6040450266624014
91028346733000366
10213345032153100
1161a841358364a1
121bb17843729950
139207472534023
143a97d517ca188
15199e8d95752a0
hexc20942db280c

213345032153100 has 72 divisors (see below), whose sum is σ = 620688670497168. Its totient is φ = 56577688070400.

The previous prime is 213345032153051. The next prime is 213345032153107. The reversal of 213345032153100 is 1351230543312.

It is a super-2 number, since 2×2133450321531002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213345032153107) by changing a digit.

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, 1964448759 + ... + 1964557358.

Almost surely, 2213345032153100 is an apocalyptic number.

213345032153100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213345032153100 is an abundant number, since it is smaller than the sum of its proper divisors (407343638344068).

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

213345032153100 is a wasteful number, since it uses less digits than its factorization.

213345032153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929006315 (or 3929006308 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 213345032153100 its reverse (1351230543312), we get a palindrome (214696262696412).

The spelling of 213345032153100 in words is "two hundred thirteen trillion, three hundred forty-five billion, thirty-two million, one hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2715 3620 4525 5430 9050 10860 13575 18100 27150 54300 3929006117 7858012234 11787018351 15716024468 19645030585 23574036702 39290061170 47148073404 58935091755 78580122340 98225152925 117870183510 196450305850 235740367020 294675458775 392900611700 589350917550 711150107177 1178701835100 1422300214354 2133450321531 2844600428708 3555750535885 4266900643062 7111501071770 8533801286124 10667251607655 14223002143540 17778752679425 21334503215310 35557505358850 42669006430620 53336258038275 71115010717700 106672516076550 213345032153100