Search a number
-
+
103130032 = 2429474729
BaseRepresentation
bin1100010010110…
…10001110110000
321012001112210211
412021122032300
5202400130112
614122233504
72361406435
oct611321660
9235045724
10103130032
115323a135
122a655894
131849b3b5
14d9a7b8c
1590c20a7
hex625a3b0

103130032 has 40 divisors (see below), whose sum is σ = 211147200. Its totient is φ = 48717312.

The previous prime is 103130029. The next prime is 103130051. The reversal of 103130032 is 230031301.

It is a junction number, because it is equal to n+sod(n) for n = 103129994 and 103130021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19444 + ... + 24172.

It is an arithmetic number, because the mean of its divisors is an integer number (5278680).

Almost surely, 2103130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105573600).

103130032 is an abundant number, since it is smaller than the sum of its proper divisors (108017168).

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

103130032 is a wasteful number, since it uses less digits than its factorization.

103130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 103130032 is about 10155.2957613257. The cubic root of 103130032 is about 468.9519911214.

Adding to 103130032 its reverse (230031301), we get a palindrome (333161333).

The spelling of 103130032 in words is "one hundred three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1363 2726 4729 5452 9458 10904 18916 21808 37832 75664 137141 222263 274282 444526 548564 889052 1097128 1778104 2194256 3556208 6445627 12891254 25782508 51565016 103130032