Search a number
-
+
132323331200 = 275242198221
BaseRepresentation
bin111101100111100010…
…1011100110010000000
3110122112211200200212112
41323033011130302000
54131444233044300
6140442152114452
712363044520464
oct1731705346200
9418484620775
10132323331200
1151133086265
122178a995a28
13c62a328418
146593c8c4a4
153696ce2e35
hex1ecf15cc80

132323331200 has 96 divisors (see below), whose sum is σ = 327659752020. Its totient is φ = 52803072000.

The previous prime is 132323331163. The next prime is 132323331209. The reversal of 132323331200 is 2133323231.

It can be written as a sum of positive squares in 6 ways, for example, as 124188736 + 132199142464 = 11144^2 + 363592^2 .

It is not an unprimeable number, because it can be changed into a prime (132323331209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1298090 + ... + 1396310.

Almost surely, 2132323331200 is an apocalyptic number.

132323331200 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 132323331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163829876010).

132323331200 is an abundant number, since it is smaller than the sum of its proper divisors (195336420820).

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

132323331200 is an equidigital number, since it uses as much as digits as its factorization.

132323331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98666 (or 98649 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 132323331200 its reverse (2133323231), we get a palindrome (134456654431).

The spelling of 132323331200 in words is "one hundred thirty-two billion, three hundred twenty-three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 421 640 800 842 1600 1684 2105 3200 3368 4210 6736 8420 10525 13472 16840 21050 26944 33680 42100 53888 67360 84200 98221 134720 168400 196442 269440 336800 392884 491105 673600 785768 982210 1347200 1571536 1964420 2455525 3143072 3928840 4911050 6286144 7857680 9822100 12572288 15715360 19644200 31430720 39288400 41351041 62861440 78576800 82702082 157153600 165404164 206755205 314307200 330808328 413510410 661616656 827020820 1033776025 1323233312 1654041640 2067552050 2646466624 3308083280 4135104100 5292933248 6616166560 8270208200 13232333120 16540416400 26464666240 33080832800 66161665600 132323331200