Search a number
-
+
10010011111 = 172281258143
BaseRepresentation
bin10010101001010010…
…01010010111100111
3221211121121020210021
421110221022113213
5131000030323421
64333141140011
7503025455602
oct112451122747
927747536707
1010010011111
114277432561
121b343ba607
13c36ab40c9
146ad60b339
153d8bd9341
hex254a4a5e7

10010011111 has 8 divisors (see below), whose sum is σ = 10603522944. Its totient is φ = 9417020160.

The previous prime is 10010011061. The next prime is 10010011139. The reversal of 10010011111 is 11111001001.

Adding to 10010011111 its reverse (11111001001), we get a palindrome (21121012112).

It can be divided in two parts, 1001001 and 1111, that multiplied together give a palindrome (1112112111).

It is a happy number.

10010011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010011111 - 223 = 10001622503 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010011094 and 10010011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90295 + ... + 167848.

It is an arithmetic number, because the mean of its divisors is an integer number (1325440368).

Almost surely, 210010011111 is an apocalyptic number.

10010011111 is a deficient number, since it is larger than the sum of its proper divisors (593511833).

10010011111 is a wasteful number, since it uses less digits than its factorization.

10010011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260441.

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 10010011111 in words is "ten billion, ten million, eleven thousand, one hundred eleven".

Divisors: 1 17 2281 38777 258143 4388431 588824183 10010011111