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3101068800 = 293552997
BaseRepresentation
bin1011100011010110…
…1000111000000000
322000010012121200000
42320311220320000
522322333200200
61231414400000
7136563435624
oct27065507000
98003177600
103101068800
111351521985
12726660000
133a561066b
14215bd5184
151323aa300
hexb8d68e00

3101068800 has 360 divisors, whose sum is σ = 11520444936. Its totient is φ = 826122240.

The previous prime is 3101068799. The next prime is 3101068801. The reversal of 3101068800 is 88601013.

It is an interprime number because it is at equal distance from previous prime (3101068799) and next prime (3101068801).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101068801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3109902 + ... + 3110898.

Almost surely, 23101068800 is an apocalyptic number.

3101068800 is a gapful number since it is divisible by the number (30) 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 3101068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760222468).

3101068800 is an abundant number, since it is smaller than the sum of its proper divisors (8419376136).

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

3101068800 is an frugal number, since it uses more digits than its factorization.

3101068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3101068800 is about 55687.2409084882. The cubic root of 3101068800 is about 1458.2672882924.

Adding to 3101068800 its reverse (88601013), we get a palindrome (3189669813).

The spelling of 3101068800 in words is "three billion, one hundred one million, sixty-eight thousand, eight hundred".