Search a number
-
+
10300210112 = 261512813793
BaseRepresentation
bin10011001011111000…
…01011101111000000
3222120211122212222102
421211330023233000
5132043323210422
64422025125532
7513151225043
oct114574135700
928524585872
1010300210112
114406222345
121bb56298a8
13c81c5caaa
146d9d8cc5a
1540440e192
hex265f0bbc0

10300210112 has 56 divisors (see below), whose sum is σ = 20653504032. Its totient is φ = 5096448000.

The previous prime is 10300210103. The next prime is 10300210127. The reversal of 10300210112 is 21101200301.

10300210112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10300210093 and 10300210102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2713688 + ... + 2717480.

It is an arithmetic number, because the mean of its divisors is an integer number (368812572).

Almost surely, 210300210112 is an apocalyptic number.

It is an amenable number.

10300210112 is an abundant number, since it is smaller than the sum of its proper divisors (10353293920).

10300210112 is a wasteful number, since it uses less digits than its factorization.

10300210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10300210112 its reverse (21101200301), we get a palindrome (31401410413).

The spelling of 10300210112 in words is "ten billion, three hundred million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 151 281 302 562 604 1124 1208 2248 2416 3793 4496 4832 7586 8992 9664 15172 17984 30344 42431 60688 84862 121376 169724 242752 339448 572743 678896 1065833 1145486 1357792 2131666 2290972 2715584 4263332 4581944 8526664 9163888 17053328 18327776 34106656 36655552 68213312 160940783 321881566 643763132 1287526264 2575052528 5150105056 10300210112