Search a number
-
+
103020365025 = 33521910197883
BaseRepresentation
bin101111111110001111…
…1100000010011100001
3100211220122222210011000
41133330133200103201
53141441203140100
6115154335542213
710304640440304
oct1377437402341
9324818883130
10103020365025
113a766346046
1217b7138a969
13993a4a4596
144db4248b3b
152a2e4a2900
hex17fc7e04e1

103020365025 has 96 divisors (see below), whose sum is σ = 199433664000. Its totient is φ = 51994716480.

The previous prime is 103020364981. The next prime is 103020365027. The reversal of 103020365025 is 520563020301.

103020365025 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 0 + 3 + 650 + 2 + 5 = 666.

It is not a de Polignac number, because 103020365025 - 27 = 103020364897 is a prime.

It is a super-2 number, since 2×1030203650252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103020365025.

It is not an unprimeable number, because it can be changed into a prime (103020365027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13064734 + ... + 13072616.

It is an arithmetic number, because the mean of its divisors is an integer number (2077434000).

Almost surely, 2103020365025 is an apocalyptic number.

103020365025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103020365025 is a deficient number, since it is larger than the sum of its proper divisors (96413298975).

103020365025 is a wasteful number, since it uses less digits than its factorization.

103020365025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103020365025 its reverse (520563020301), we get a palindrome (623583385326).

The spelling of 103020365025 in words is "one hundred three billion, twenty million, three hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 135 171 225 285 475 513 675 855 1019 1425 2565 3057 4275 5095 7883 9171 12825 15285 19361 23649 25475 27513 39415 45855 58083 70947 76425 96805 118245 137565 149777 174249 197075 212841 229275 290415 354735 449331 484025 522747 591225 687825 748885 871245 1064205 1347993 1452075 1773675 2246655 2613735 3744425 4043979 4356225 5321025 6739965 8032777 11233275 13068675 20219895 24098331 33699825 40163885 72294993 101099475 120491655 152622763 200819425 216884979 361474965 457868289 602458275 763113815 1084424895 1373604867 1807374825 2289341445 3815569075 4120814601 5422124475 6868024335 11446707225 20604073005 34340121675 103020365025