Search a number
-
+
10010212110112 = 252771301868033
BaseRepresentation
bin1001000110101010111100…
…1000110000111100100000
31022102222002220010012022211
42101222233020300330200
52303001403300010422
633142343350011504
72052133250012134
oct221525710607440
938388086105284
1010010212110112
11320a341852545
121158067946b94
13577c60a80126
142686d55073c4
151255c674d577
hex91aaf230f20

10010212110112 has 48 divisors (see below), whose sum is σ = 19793977213752. Its totient is φ = 4983198105600.

The previous prime is 10010212110103. The next prime is 10010212110161. The reversal of 10010212110112 is 21101121201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3214576469776 + 6795635640336 = 1792924^2 + 2606844^2 .

It is a super-2 number, since 2×100102121101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010212110092 and 10010212110101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11098048 + ... + 11966080.

Almost surely, 210010212110112 is an apocalyptic number.

It is an amenable number.

10010212110112 is a deficient number, since it is larger than the sum of its proper divisors (9783765103640).

10010212110112 is a wasteful number, since it uses less digits than its factorization.

10010212110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869621 (or 869613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10010212110112 its reverse (21101121201001), we get a palindrome (31111333311113).

The spelling of 10010212110112 in words is "ten trillion, ten billion, two hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 277 554 1108 1301 2216 2602 4432 5204 8864 10408 20816 41632 360377 720754 868033 1441508 1736066 2883016 3472132 5766032 6944264 11532064 13888528 27777056 240445141 480890282 961780564 1129310933 1923561128 2258621866 3847122256 4517243732 7694244512 9034487464 18068974928 36137949856 312819128441 625638256882 1251276513764 2502553027528 5005106055056 10010212110112