Search a number
-
+
103872262050 = 23252151932
BaseRepresentation
bin110000010111101000…
…1001110111110100010
3100221010000222122011200
41200233101032332202
53200212244341200
6115415051022030
710335023442144
oct1405721167642
9327100878150
10103872262050
1140063202977
121816a73a916
139a44b2816b
145055442c94
152a7e17b800
hex182f44efa2

103872262050 has 54 divisors (see below), whose sum is σ = 279088513587. Its totient is φ = 27697446720.

The previous prime is 103872262033. The next prime is 103872262051. The reversal of 103872262050 is 50262278301.

103872262050 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 7 + 22 + 620 + 5 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 96386032521 + 7486229529 = 310461^2 + 86523^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227895.

It is a junction number, because it is equal to n+sod(n) for n = 103872261996 and 103872262014.

It is not an unprimeable number, because it can be changed into a prime (103872262051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6829254 + ... + 6844446.

Almost surely, 2103872262050 is an apocalyptic number.

103872262050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103872262050 is an abundant number, since it is smaller than the sum of its proper divisors (175216251537).

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

103872262050 is an frugal number, since it uses more digits than its factorization.

103872262050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30404 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 103872262050 in words is "one hundred three billion, eight hundred seventy-two million, two hundred sixty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 15193 30386 45579 75965 91158 136737 151930 227895 273474 379825 455790 683685 759650 1139475 1367370 2278950 3418425 6836850 230827249 461654498 692481747 1154136245 1384963494 2077445241 2308272490 3462408735 4154890482 5770681225 6924817470 10387226205 11541362450 17312043675 20774452410 34624087350 51936131025 103872262050