Search a number
-
+
10010430335412 = 22321331168777519
BaseRepresentation
bin1001000110101011110000…
…1001001110100110110100
31022102222200002202012011100
42101222330021032212310
52303002330131213122
633142421143210100
72052141536624403
oct221527411164664
938388602665140
1010010430335412
11320a443a53431
121158108a46930
13577c97048b20
142687164b163a
151255da9a7aac
hex91abc24e9b4

10010430335412 has 72 divisors (see below), whose sum is σ = 27338238869760. Its totient is φ = 3070228403520.

The previous prime is 10010430335401. The next prime is 10010430335417. The reversal of 10010430335412 is 21453303401001.

It is a happy number.

10010430335412 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 4 + 303 + 354 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010430335417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34243212 + ... + 34534307.

It is an arithmetic number, because the mean of its divisors is an integer number (379697762080).

Almost surely, 210010430335412 is an apocalyptic number.

10010430335412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010430335412 is an abundant number, since it is smaller than the sum of its proper divisors (17327808534348).

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

10010430335412 is a wasteful number, since it uses less digits than its factorization.

10010430335412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68777853 (or 68777848 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10010430335412 its reverse (21453303401001), we get a palindrome (31463733736413).

The spelling of 10010430335412 in words is "ten trillion, ten billion, four hundred thirty million, three hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 311 468 622 933 1244 1866 2799 3732 4043 5598 8086 11196 12129 16172 24258 36387 48516 72774 145548 68777519 137555038 206332557 275110076 412665114 618997671 825330228 894107747 1237995342 1788215494 2475990684 2682323241 3576430988 5364646482 8046969723 10729292964 16093939446 21389808409 32187878892 42779616818 64169425227 85559233636 128338850454 192508275681 256677700908 278067509317 385016551362 556135018634 770033102724 834202527951 1112270037268 1668405055902 2502607583853 3336810111804 5005215167706 10010430335412