Search a number
-
+
104401142300 = 2252713234710613
BaseRepresentation
bin110000100111011001…
…0110000001000011100
3100222110220011112111002
41201032302300020130
53202303143023200
6115543342445432
710354105032110
oct1411662601034
9328426145432
10104401142300
11403047a5494
1218297893878
139aca582660
1450a5795740
152ab07ebbd5
hex184ecb021c

104401142300 has 288 divisors, whose sum is σ = 297172979712. Its totient is φ = 30929310720.

The previous prime is 104401142189. The next prime is 104401142309. The reversal of 104401142300 is 3241104401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104401142309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9831794 + ... + 9842406.

It is an arithmetic number, because the mean of its divisors is an integer number (1031850624).

Almost surely, 2104401142300 is an apocalyptic number.

104401142300 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 104401142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148586489856).

104401142300 is an abundant number, since it is smaller than the sum of its proper divisors (192771837412).

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

104401142300 is a wasteful number, since it uses less digits than its factorization.

104401142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104401142300 its reverse (3241104401), we get a palindrome (107642246701).

The spelling of 104401142300 in words is "one hundred four billion, four hundred one million, one hundred forty-two thousand, three hundred".