Search a number
-
+
10011111110010 = 2325659257965449
BaseRepresentation
bin1001000110101110010010…
…1110001011010101111010
31022110001102112202010100100
42101223210232023111322
52303010223421010020
633143012502420230
72052164444254113
oct221534456132572
938401375663310
1010011111110010
11320a76326146a
121158278a31676
135780750b652a
1426877ca8320a
1512562a62da90
hex91ae4b8b57a

10011111110010 has 96 divisors (see below), whose sum is σ = 26078892840000. Its totient is φ = 2664504315648.

The previous prime is 10011111109897. The next prime is 10011111110027. The reversal of 10011111110010 is 1001111111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011111109974 and 10011111110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152927766 + ... + 152993214.

It is an arithmetic number, because the mean of its divisors is an integer number (271655133750).

Almost surely, 210011111110010 is an apocalyptic number.

10011111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011111110010 is an abundant number, since it is smaller than the sum of its proper divisors (16067781729990).

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

10011111110010 is a wasteful number, since it uses less digits than its factorization.

10011111110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68700 (or 68697 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011111110010 its reverse (1001111111001), we get a palindrome (11012222221011).

Subtracting from 10011111110010 its reverse (1001111111001), we obtain a palindrome (9009999999009).

The spelling of 10011111110010 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 659 1318 1977 2579 3295 3954 5158 5931 6590 7737 9885 11862 12895 15474 19770 23211 25790 29655 38685 46422 59310 65449 77370 116055 130898 196347 232110 327245 392694 589041 654490 981735 1178082 1699561 1963470 2945205 3399122 5098683 5890410 8497805 10197366 15296049 16995610 25493415 30592098 43130891 50986830 76480245 86261782 129392673 152960490 168792971 215654455 258785346 337585942 388178019 431308910 506378913 646963365 776356038 843964855 1012757826 1293926730 1519136739 1687929710 1940890095 2531894565 3038273478 3881780190 5063789130 7595683695 15191367390 111234567889 222469135778 333703703667 556172839445 667407407334 1001111111001 1112345678890 1668518518335 2002222222002 3337037036670 5005555555005 10011111110010