Search a number
-
+
103033006032 = 24311200397423
BaseRepresentation
bin101111111110100111…
…1101110011111010000
3100211221112210000100110
41133331033232133100
53142002422143112
6115155510521320
710305153046455
oct1377517563720
9324845700313
10103033006032
113a77249a460
1217b75666240
13993ccac278
144db5bb982c
152a3064d13c
hex17fd3ee7d0

103033006032 has 80 divisors (see below), whose sum is σ = 290513691648. Its totient is φ = 31206215040.

The previous prime is 103033006031. The next prime is 103033006081. The reversal of 103033006032 is 230600330301.

It is a super-3 number, since 3×1030330060323 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103033006031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008873 + ... + 1106295.

Almost surely, 2103033006032 is an apocalyptic number.

103033006032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103033006032 is an abundant number, since it is smaller than the sum of its proper divisors (187480685616).

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

103033006032 is a wasteful number, since it uses less digits than its factorization.

103033006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99448 (or 99442 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103033006032 its reverse (230600330301), we get a palindrome (333633336333).

The spelling of 103033006032 in words is "one hundred three billion, thirty-three million, six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2003 4006 6009 8012 12018 16024 22033 24036 32048 44066 48072 66099 88132 96144 97423 132198 176264 194846 264396 292269 352528 389692 528792 584538 779384 1057584 1071653 1169076 1558768 2143306 2338152 3214959 4286612 4676304 6429918 8573224 12859836 17146448 25719672 51439344 195138269 390276538 585414807 780553076 1170829614 1561106152 2146520959 2341659228 3122212304 4293041918 4683318456 6439562877 8586083836 9366636912 12879125754 17172167672 25758251508 34344335344 51516503016 103033006032