Search a number
-
+
10010122001002 = 253218127493581
BaseRepresentation
bin1001000110101010100111…
…0001000001101001101010
31022102221212121120011212101
42101222221301001221222
52303001212213013002
633142330410404014
72052131104053304
oct221525161015152
938387777504771
1010010122001002
11320a2a59a7202
12115804173060a
13577c481c0626
142686c756c974
151255bd89e587
hex91aa9c41a6a

10010122001002 has 48 divisors (see below), whose sum is σ = 15398281899000. Its totient is φ = 4880355667200.

The previous prime is 10010122000981. The next prime is 10010122001003. The reversal of 10010122001002 is 20010022101001.

It can be written as a sum of positive squares in 12 ways, for example, as 816982784641 + 9193139216361 = 903871^2 + 3032019^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10010122001002.

It is not an unprimeable number, because it can be changed into a prime (10010122001003) 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 23 ways as a sum of consecutive naturals, for example, 2795340852 + ... + 2795344432.

Almost surely, 210010122001002 is an apocalyptic number.

10010122001002 is a deficient number, since it is larger than the sum of its proper divisors (5388159897998).

10010122001002 is a wasteful number, since it uses less digits than its factorization.

10010122001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010122001002 its reverse (20010022101001), we get a palindrome (30020144102003).

Subtracting 10010122001002 from its reverse (20010022101001), we obtain a palindrome (9999900099999).

The spelling of 10010122001002 in words is "ten trillion, ten billion, one hundred twenty-two million, one thousand, two".

Divisors: 1 2 53 106 181 362 2749 2809 3581 5498 5618 7162 9593 19186 145697 189793 291394 379586 497569 508429 648161 995138 1016858 1296322 7721941 9844169 10059029 15443882 19688338 20118058 26371157 34352533 52742314 68705066 521740957 1043481914 1397671321 1781794589 1820684249 2795342642 3563589178 3641368498 27652270721 55304541442 94435113217 188870226434 5005061000501 10010122001002