Search a number
-
+
1181011104 = 25357131669
BaseRepresentation
bin100011001100100…
…1100110010100000
310001022021120200000
41012121030302200
54404314323404
6313105100000
741160300030
oct10631146240
93038246600
101181011104
11556717139
1228b627600
1315a8a6350
14b2bc98c0
156da39339
hex4664cca0

1181011104 has 288 divisors, whose sum is σ = 4289201280. Its totient is φ = 311288832.

The previous prime is 1181011087. The next prime is 1181011127. The reversal of 1181011104 is 4011101811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706782 + ... + 708450.

It is an arithmetic number, because the mean of its divisors is an integer number (14893060).

Almost surely, 21181011104 is an apocalyptic number.

1181011104 is a gapful number since it is divisible by the number (14) 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 1181011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144600640).

1181011104 is an abundant number, since it is smaller than the sum of its proper divisors (3108190176).

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

1181011104 is a wasteful number, since it uses less digits than its factorization.

1181011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 1181011104 is about 34365.8421110265. The cubic root of 1181011104 is about 1057.0235427204.

Adding to 1181011104 its reverse (4011101811), we get a palindrome (5192112915).

The spelling of 1181011104 in words is "one billion, one hundred eighty-one million, eleven thousand, one hundred four".