Search a number
-
+
10022314412011 = 1128112743254447
BaseRepresentation
bin1001000111011000000001…
…1111011000011111101011
31022111010100022201211111111
42101312000133120133223
52303201144442141021
633152104312211151
72053042202616136
oct221660037303753
938433308654444
1010022314412011
113214492228040
12115a484999ab7
1357913c183105
1426912295521d
15125a83e7a8e1
hex91d807d87eb

10022314412011 has 16 divisors (see below), whose sum is σ = 10973247095808. Its totient is φ = 9078022609600.

The previous prime is 10022314411999. The next prime is 10022314412021. The reversal of 10022314412011 is 11021441322001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022314412011 is a prime.

It is a super-2 number, since 2×100223144120112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022314412021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39261390 + ... + 39515836.

It is an arithmetic number, because the mean of its divisors is an integer number (685827943488).

Almost surely, 210022314412011 is an apocalyptic number.

10022314412011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022314412011 is a deficient number, since it is larger than the sum of its proper divisors (950932683797).

10022314412011 is a wasteful number, since it uses less digits than its factorization.

10022314412011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267482.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10022314412011 its reverse (11021441322001), we get a palindrome (21043755734012).

The spelling of 10022314412011 in words is "ten trillion, twenty-two billion, three hundred fourteen million, four hundred twelve thousand, eleven".

Divisors: 1 11 281 3091 12743 140173 254447 2798917 3580783 39388613 71499607 786495677 3242418121 35666599331 911119492001 10022314412011