Search a number
-
+
10302230304 = 253235771633
BaseRepresentation
bin10011001100000111…
…11000111100100000
3222120222110112011100
421212003320330200
5132044332332204
64422140314400
7513204340602
oct114603707440
928528415140
1010302230304
114407382123
121bb6242a00
13c824b9482
146da357172
154046aca39
hex2660f8f20

10302230304 has 36 divisors (see below), whose sum is σ = 29296968246. Its totient is φ = 3434076672.

The previous prime is 10302230303. The next prime is 10302230363. The reversal of 10302230304 is 40303220301.

It can be written as a sum of positive squares in only one way, i.e., 9066848400 + 1235381904 = 95220^2 + 35148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×103022303042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10302230303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17885529 + ... + 17886104.

Almost surely, 210302230304 is an apocalyptic number.

It is an amenable number.

10302230304 is an abundant number, since it is smaller than the sum of its proper divisors (18994737942).

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

10302230304 is a wasteful number, since it uses less digits than its factorization.

10302230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35771649 (or 35771638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10302230304 its reverse (40303220301), we get a palindrome (50605450605).

The spelling of 10302230304 in words is "ten billion, three hundred two million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35771633 71543266 107314899 143086532 214629798 286173064 321944697 429259596 572346128 643889394 858519192 1144692256 1287778788 1717038384 2575557576 3434076768 5151115152 10302230304