Search a number
-
+
103535031240 = 23325421683129
BaseRepresentation
bin110000001101100101…
…0110011001111001000
3100220020112102112110200
41200123022303033020
53144014431444430
6115321403012200
710323460150014
oct1403312631710
9326215375420
10103535031240
113a9aa90a423
121809580a060
1399bccc30c4
14502273b544
152a5e766460
hex181b2b33c8

103535031240 has 96 divisors (see below), whose sum is σ = 337288606200. Its totient is φ = 27543720960.

The previous prime is 103535031221. The next prime is 103535031241. The reversal of 103535031240 is 42130535301.

103535031240 is a `hidden beast` number, since 1 + 0 + 3 + 535 + 0 + 3 + 124 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20116883556 + 83418147684 = 141834^2 + 288822^2 .

It is not an unprimeable number, because it can be changed into a prime (103535031241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190005 + ... + 493124.

Almost surely, 2103535031240 is an apocalyptic number.

103535031240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103535031240 is an abundant number, since it is smaller than the sum of its proper divisors (233753574960).

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

103535031240 is a wasteful number, since it uses less digits than its factorization.

103535031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683567 (or 683560 counting only the distinct ones).

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

Adding to 103535031240 its reverse (42130535301), we get a palindrome (145665566541).

The spelling of 103535031240 in words is "one hundred three billion, five hundred thirty-five million, thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 421 842 1263 1684 2105 2526 3368 3789 4210 5052 6315 7578 8420 10104 12630 15156 16840 18945 25260 30312 37890 50520 75780 151560 683129 1366258 2049387 2732516 3415645 4098774 5465032 6148161 6831290 8197548 10246935 12296322 13662580 16395096 20493870 24592644 27325160 30740805 40987740 49185288 61481610 81975480 122963220 245926440 287597309 575194618 862791927 1150389236 1437986545 1725583854 2300778472 2588375781 2875973090 3451167708 4313959635 5176751562 5751946180 6902335416 8627919270 10353503124 11503892360 12941878905 17255838540 20707006248 25883757810 34511677080 51767515620 103535031240