Search a number
-
+
11002210110 = 232517193753193
BaseRepresentation
bin10100011111100100…
…00110011100111110
31001101202121011221100
422033302012130332
5140013031210420
65015423313530
7536434146213
oct121762063476
931352534840
1011002210110
114736508331
12217074b8a6
13106451c5c8
147652c7b0a
15445d79190
hex28fc8673e

11002210110 has 384 divisors, whose sum is σ = 33534933120. Its totient is φ = 2484338688.

The previous prime is 11002210081. The next prime is 11002210117. The reversal of 11002210110 is 1101220011.

It is a happy number.

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 = 11002210092 and 11002210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57006174 + ... + 57006366.

It is an arithmetic number, because the mean of its divisors is an integer number (87330555).

Almost surely, 211002210110 is an apocalyptic number.

11002210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767466560).

11002210110 is an abundant number, since it is smaller than the sum of its proper divisors (22532723010).

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

11002210110 is a wasteful number, since it uses less digits than its factorization.

11002210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002210110 its reverse (1101220011), we get a palindrome (12103430121).

Subtracting from 11002210110 its reverse (1101220011), we obtain a palindrome (9900990099).

The spelling of 11002210110 in words is "eleven billion, two million, two hundred ten thousand, one hundred ten".