Search a number
-
+
10302104432241 = 321767334015897
BaseRepresentation
bin1001010111101010010101…
…0001100110111001110001
31100110212112101000111220100
42111322211101212321301
52322242202213312431
633524415455303013
72112205515553626
oct225724521467161
940425471014810
1010302104432241
113312109416416
1211a4749b1aa69
1359963ac674bb
142788a595234d
1512ceac2424e6
hex95ea5466e71

10302104432241 has 12 divisors (see below), whose sum is σ = 15756159720132. Its totient is φ = 6464065526016.

The previous prime is 10302104432239. The next prime is 10302104432273. The reversal of 10302104432241 is 14223440120301.

10302104432241 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 210 + 443 + 2 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4741332051600 + 5560772380641 = 2177460^2 + 2358129^2 .

It is not a de Polignac number, because 10302104432241 - 21 = 10302104432239 is a prime.

It is a super-2 number, since 2×103021044322412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10302104432281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33667007796 + ... + 33667008101.

It is an arithmetic number, because the mean of its divisors is an integer number (1313013310011).

Almost surely, 210302104432241 is an apocalyptic number.

It is an amenable number.

10302104432241 is a deficient number, since it is larger than the sum of its proper divisors (5454055287891).

10302104432241 is a wasteful number, since it uses less digits than its factorization.

10302104432241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67334015920 (or 67334015917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10302104432241 its reverse (14223440120301), we get a palindrome (24525544552542).

The spelling of 10302104432241 in words is "ten trillion, three hundred two billion, one hundred four million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 67334015897 202002047691 606006143073 1144678270249 3434034810747 10302104432241