Search a number
-
+
132000300210 = 23529293517831
BaseRepresentation
bin111101011101111010…
…1001011110010110010
3110121201022212000122210
41322323311023302302
54130314034101320
6140350132312550
712352043016252
oct1727365136262
9417638760583
10132000300210
1150a878012a9
12216ba772756
13c5a842571c
146563001962
1536787850e0
hex1ebbd4bcb2

132000300210 has 64 divisors (see below), whose sum is σ = 328844033280. Its totient is φ = 33870224640.

The previous prime is 132000300209. The next prime is 132000300241. The reversal of 132000300210 is 12003000231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4006 + ... + 513825.

It is an arithmetic number, because the mean of its divisors is an integer number (5138188020).

Almost surely, 2132000300210 is an apocalyptic number.

132000300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000300210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164422016640).

132000300210 is an abundant number, since it is smaller than the sum of its proper divisors (196843733070).

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

132000300210 is a wasteful number, since it uses less digits than its factorization.

132000300210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518163.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132000300210 its reverse (12003000231), we get a palindrome (144003300441).

The spelling of 132000300210 in words is "one hundred thirty-two billion, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 293 435 586 870 879 1465 1758 2930 4395 8497 8790 16994 25491 42485 50982 84970 127455 254910 517831 1035662 1553493 2589155 3106986 5178310 7767465 15017099 15534930 30034198 45051297 75085495 90102594 150170990 151724483 225256485 303448966 450512970 455173449 758622415 910346898 1517244830 2275867245 4400010007 4551734490 8800020014 13200030021 22000050035 26400060042 44000100070 66000150105 132000300210