Search a number
-
+
132123313300 = 225211229524507
BaseRepresentation
bin111101100001100101…
…0011100010010010100
3110122000220022201220011
41323003022130102110
54131042032011200
6140410245050004
712355065430066
oct1730312342224
9418026281804
10132123313300
1151040190910
12217339b6904
13c5c7a65c34
1465754a3736
1536844835ba
hex1ec329c494

132123313300 has 72 divisors (see below), whose sum is σ = 314138331360. Its totient is φ = 47834947200.

The previous prime is 132123313277. The next prime is 132123313303. The reversal of 132123313300 is 3313321231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123313303) 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, 10354 + ... + 514153.

It is an arithmetic number, because the mean of its divisors is an integer number (4363032380).

Almost surely, 2132123313300 is an apocalyptic number.

132123313300 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 132123313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157069165680).

132123313300 is an abundant number, since it is smaller than the sum of its proper divisors (182015018060).

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

132123313300 is a wasteful number, since it uses less digits than its factorization.

132123313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524761 (or 524754 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 132123313300 its reverse (3313321231), we get a palindrome (135436634531).

The spelling of 132123313300 in words is "one hundred thirty-two billion, one hundred twenty-three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 229 275 458 550 916 1100 1145 2290 2519 4580 5038 5725 10076 11450 12595 22900 25190 50380 62975 125950 251900 524507 1049014 2098028 2622535 5245070 5769577 10490140 11539154 13112675 23078308 26225350 28847885 52450700 57695770 115391540 120112103 144239425 240224206 288478850 480448412 576957700 600560515 1201121030 1321233133 2402242060 2642466266 3002802575 5284932532 6005605150 6606165665 12011210300 13212331330 26424662660 33030828325 66061656650 132123313300