Search a number
-
+
10011223101 = 3112192515783
BaseRepresentation
bin10010101001011011…
…10010010000111101
3221211200212211022210
421110231302100331
5131000333114401
64333223131033
7503041664235
oct112455622075
927750784283
1010011223101
114278090100
121b348a3a79
13c37119969
146ad844cc5
153d8d784d6
hex254b7243d

10011223101 has 48 divisors (see below), whose sum is σ = 15508523520. Its totient is φ = 5724180000.

The previous prime is 10011223099. The next prime is 10011223127. The reversal of 10011223101 is 10132211001.

10011223101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011223101 - 21 = 10011223099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011223601) 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 47 ways as a sum of consecutive naturals, for example, 1728256 + ... + 1734038.

It is an arithmetic number, because the mean of its divisors is an integer number (323094240).

Almost surely, 210011223101 is an apocalyptic number.

10011223101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011223101 is a deficient number, since it is larger than the sum of its proper divisors (5497300419).

10011223101 is a wasteful number, since it uses less digits than its factorization.

10011223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10011223101 its reverse (10132211001), we get a palindrome (20143434102).

The spelling of 10011223101 in words is "ten billion, eleven million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 3 11 19 33 57 121 209 251 363 627 753 2299 2761 4769 5783 6897 8283 14307 17349 30371 52459 63613 91113 109877 157377 190839 329631 577049 699743 1208647 1451533 1731147 2099229 3625941 4354599 13295117 15966863 27579127 39885351 47900589 82737381 175635493 303370397 526906479 910111191 3337074367 10011223101