Search a number
-
+
11123011020000 = 253541139742451
BaseRepresentation
bin1010000111011100011100…
…0111101110010011100000
31110101100102202120221202010
42201313013013232103200
52424214411310120000
635353501332352520
72225416403456565
oct241670707562340
943340382527663
1011123011020000
1135a9273820a10
1212b7869a75740
13628b84380859
142a64dc75286c
15144505b7dd50
hexa1dc71ee4e0

11123011020000 has 480 divisors, whose sum is σ = 39903781002624. Its totient is φ = 2689632000000.

The previous prime is 11123011019959. The next prime is 11123011020001. The reversal of 11123011020000 is 2011032111.

11123011020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123011020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 261998775 + ... + 262041225.

Almost surely, 211123011020000 is an apocalyptic number.

11123011020000 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 11123011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951890501312).

11123011020000 is an abundant number, since it is smaller than the sum of its proper divisors (28780769982624).

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

11123011020000 is a wasteful number, since it uses less digits than its factorization.

11123011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42892 (or 42869 counting only the distinct ones).

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

Adding to 11123011020000 its reverse (2011032111), we get a palindrome (11125022052111).

The spelling of 11123011020000 in words is "eleven trillion, one hundred twenty-three billion, eleven million, twenty thousand".