Search a number
-
+
11011010011100 = 2252112310115128537
BaseRepresentation
bin1010000000111011001101…
…0101110001111111011100
31102222122100012221012012022
42200032303111301333130
52420401022030323400
635230215502155312
72214343043553131
oct240166325617734
942878305835168
1011011010011100
11356581a105240
12129a010b82b38
1361b445445318
142a0d158d0588
1514164d074b85
hexa03b3571fdc

11011010011100 has 288 divisors, whose sum is σ = 27651552187392. Its totient is φ = 3766752000000.

The previous prime is 11011010011087. The next prime is 11011010011117. The reversal of 11011010011100 is 111001011011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385836032 + ... + 385864568.

It is an arithmetic number, because the mean of its divisors is an integer number (96012333984).

Almost surely, 211011010011100 is an apocalyptic number.

11011010011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825776093696).

11011010011100 is an abundant number, since it is smaller than the sum of its proper divisors (16640542176292).

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

11011010011100 is a wasteful number, since it uses less digits than its factorization.

11011010011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28837 (or 28830 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11011010011100 its reverse (111001011011), we get a palindrome (11122011022111).

The spelling of 11011010011100 in words is "eleven trillion, eleven billion, ten million, eleven thousand, one hundred".