Search a number
-
+
110013211110 = 235113743317661
BaseRepresentation
bin110011001110101001…
…1000110000111100110
3101111222000021011121110
41212131103012013212
53300301340223420
6122312300525450
710643141602545
oct1463523060746
9344860234543
10110013211110
1142724653890
12193a3250886
13a4b317422a
145478c6215c
152cdd356ee0
hex199d4c61e6

110013211110 has 256 divisors, whose sum is σ = 304113097728. Its totient is φ = 25227417600.

The previous prime is 110013211079. The next prime is 110013211117. The reversal of 110013211110 is 11112310011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013211117) 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, 166434180 + ... + 166434840.

It is an arithmetic number, because the mean of its divisors is an integer number (1187941788).

Almost surely, 2110013211110 is an apocalyptic number.

110013211110 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 110013211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152056548864).

110013211110 is an abundant number, since it is smaller than the sum of its proper divisors (194099886618).

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

110013211110 is a wasteful number, since it uses less digits than its factorization.

110013211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110013211110 its reverse (11112310011), we get a palindrome (121125521121).

It can be divided in two parts, 110013 and 211110, that added together give a palindrome (321123).

The spelling of 110013211110 in words is "one hundred ten billion, thirteen million, two hundred eleven thousand, one hundred ten".