Search a number
-
+
10042531300330 = 2529113306455029
BaseRepresentation
bin1001001000100011010110…
…0000101100001111101010
31022120001112021101011120221
42102020311200230033222
52304014101003102310
633205250350240254
72054356200416404
oct222106540541752
938501467334527
1010042531300330
113222017124501
1211623874b608a
1357b011779019
1426a0bd977b74
15126368c89ada
hex9223582c3ea

10042531300330 has 32 divisors (see below), whose sum is σ = 18865371646800. Its totient is φ = 3844171871232.

The previous prime is 10042531300271. The next prime is 10042531300337. The reversal of 10042531300330 is 3300313524001.

It can be written as a sum of positive squares in 8 ways, for example, as 72655585209 + 9969875715121 = 269547^2 + 3157511^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10042531300295 and 10042531300304.

It is not an unprimeable number, because it can be changed into a prime (10042531300337) 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 15 ways as a sum of consecutive naturals, for example, 153194745 + ... + 153260284.

Almost surely, 210042531300330 is an apocalyptic number.

10042531300330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042531300330 is a deficient number, since it is larger than the sum of its proper divisors (8822840346470).

10042531300330 is a wasteful number, since it uses less digits than its factorization.

10042531300330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306455178.

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 10042531300330 its reverse (3300313524001), we get a palindrome (13342844824331).

The spelling of 10042531300330 in words is "ten trillion, forty-two billion, five hundred thirty-one million, three hundred thousand, three hundred thirty".

Divisors: 1 2 5 10 29 58 113 145 226 290 565 1130 3277 6554 16385 32770 306455029 612910058 1532275145 3064550290 8887195841 17774391682 34629418277 44435979205 69258836554 88871958410 173147091385 346294182770 1004253130033 2008506260066 5021265650165 10042531300330