Search a number
-
+
103215241040 = 2451379417449
BaseRepresentation
bin110000000100000011…
…0111001011101010000
3100212102020200111210012
41200020012321131100
53142341100203130
6115225540454052
710312525034042
oct1401006713520
9325366614705
10103215241040
113a8563492aa
12180066aa328
13996b986532
144dd2095a92
152a41648995
hex18081b9750

103215241040 has 40 divisors (see below), whose sum is σ = 241727106600. Its totient is φ = 40984733696.

The previous prime is 103215241027. The next prime is 103215241061. The reversal of 103215241040 is 40142512301.

It can be written as a sum of positive squares in 4 ways, for example, as 9721171216 + 93494069824 = 98596^2 + 305768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 103215240997 and 103215241015.

It is a congruent number.

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, 4697765 + ... + 4719684.

It is an arithmetic number, because the mean of its divisors is an integer number (6043177665).

Almost surely, 2103215241040 is an apocalyptic number.

103215241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103215241040 is an abundant number, since it is smaller than the sum of its proper divisors (138511865560).

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

103215241040 is a wasteful number, since it uses less digits than its factorization.

103215241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417599 (or 9417593 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 103215241040 its reverse (40142512301), we get a palindrome (143357753341).

The spelling of 103215241040 in words is "one hundred three billion, two hundred fifteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 9417449 18834898 37669796 47087245 75339592 94174490 150679184 188348980 376697960 753395920 1290190513 2580381026 5160762052 6450952565 10321524104 12901905130 20643048208 25803810260 51607620520 103215241040