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11331100110 = 235111929101617
BaseRepresentation
bin10101000110110001…
…01101110111001110
31002020200110112012110
422203120231313032
5141201230200420
65112212444450
7550536522201
oct124330556716
932220415173
1011331100110
114895124250
122242919726
1310b76c4085
14796c5b938
15464b92ee0
hex2a362ddce

11331100110 has 256 divisors, whose sum is σ = 32677862400. Its totient is φ = 2483712000.

The previous prime is 11331100097. The next prime is 11331100111. The reversal of 11331100110 is 1100113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331100111) 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 127 ways as a sum of consecutive naturals, for example, 18364522 + ... + 18365138.

It is an arithmetic number, because the mean of its divisors is an integer number (127647900).

Almost surely, 211331100110 is an apocalyptic number.

11331100110 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 11331100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338931200).

11331100110 is an abundant number, since it is smaller than the sum of its proper divisors (21346762290).

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

11331100110 is a wasteful number, since it uses less digits than its factorization.

11331100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11331100110 its reverse (1100113311), we get a palindrome (12431213421).

The spelling of 11331100110 in words is "eleven billion, three hundred thirty-one million, one hundred thousand, one hundred ten".