Search a number
-
+
132120000100 = 225211671792673
BaseRepresentation
bin111101100001011110…
…1110011011001100100
3110122000200002102001001
41323002331303121210
54131040210000400
6140410050043044
712355025320444
oct1730275633144
9418020072031
10132120000100
1151039328630
1221732879484
13c5c7175b6a
146574c80124
15368402ba6a
hex1ec2f73664

132120000100 has 72 divisors (see below), whose sum is σ = 317432370528. Its totient is φ = 47326540800.

The previous prime is 132120000071. The next prime is 132120000157. The reversal of 132120000100 is 1000021231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822637 + ... + 970036.

It is an arithmetic number, because the mean of its divisors is an integer number (4408782924).

Almost surely, 2132120000100 is an apocalyptic number.

132120000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120000100 is an abundant number, since it is smaller than the sum of its proper divisors (185312370428).

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

132120000100 is a wasteful number, since it uses less digits than its factorization.

132120000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792765 (or 1792758 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 132120000100 its reverse (1000021231), we get a palindrome (133120021331).

The spelling of 132120000100 in words is "one hundred thirty-two billion, one hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 1792673 3585346 7170692 8963365 17926730 19719403 35853460 39438806 44816825 78877612 89633650 98597015 120109091 179267300 197194030 240218182 394388060 480436364 492985075 600545455 985970150 1201090910 1321200001 1971940300 2402181820 2642400002 3002727275 5284800004 6005454550 6606000005 12010909100 13212000010 26424000020 33030000025 66060000050 132120000100