Search a number
-
+
10011102311 = 771186710789
BaseRepresentation
bin10010101001011010…
…10100110001100111
3221211200122200122002
421110231110301213
5131000320233221
64333220355515
7503040652130
oct112455246147
927750580562
1010011102311
114278008381
121b34845b9b
13c370a69a2
146ad812c87
153d8d5280b
hex254b54c67

10011102311 has 16 divisors (see below), whose sum is σ = 11609694720. Its totient is φ = 8454771360.

The previous prime is 10011102289. The next prime is 10011102313. The reversal of 10011102311 is 11320111001.

It is a happy number.

10011102311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10011102311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011102292 and 10011102301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011102313) 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 15 ways as a sum of consecutive naturals, for example, 922505 + ... + 933293.

It is an arithmetic number, because the mean of its divisors is an integer number (725605920).

Almost surely, 210011102311 is an apocalyptic number.

10011102311 is a deficient number, since it is larger than the sum of its proper divisors (1598592409).

10011102311 is a wasteful number, since it uses less digits than its factorization.

10011102311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12734.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011102311 its reverse (11320111001), we get a palindrome (21331213312).

The spelling of 10011102311 in words is "ten billion, eleven million, one hundred two thousand, three hundred eleven".

Divisors: 1 7 71 497 1867 10789 13069 75523 132557 766019 927899 5362133 20143063 141001441 1430157473 10011102311