Search a number
-
+
104443044100 = 22522333447677
BaseRepresentation
bin110000101000101001…
…0100110000100000100
3100222120211000100221121
41201101102212010010
53202344404402400
6115551440523324
710355124140563
oct1412122460404
9328524010847
10104443044100
114032641497a
12182a9920544
139b06163a15
1450ab181bda
152ab432721a
hex18514a6104

104443044100 has 36 divisors (see below), whose sum is σ = 226739058084. Its totient is φ = 41759217280.

The previous prime is 104443044067. The next prime is 104443044103. The reversal of 104443044100 is 1440344401.

It is a happy number.

104443044100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4920461316 + 99522582784 = 70146^2 + 315472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104443044103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9462 + ... + 457138.

It is an arithmetic number, because the mean of its divisors is an integer number (6298307169).

Almost surely, 2104443044100 is an apocalyptic number.

104443044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104443044100 is an abundant number, since it is smaller than the sum of its proper divisors (122296013984).

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

104443044100 is a wasteful number, since it uses less digits than its factorization.

104443044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450024 (or 450017 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 104443044100 its reverse (1440344401), we get a palindrome (105883388501).

The spelling of 104443044100 in words is "one hundred four billion, four hundred forty-three million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2333 4666 9332 11665 23330 46660 58325 116650 233300 447677 895354 1790708 2238385 4476770 8953540 11191925 22383850 44767700 1044430441 2088860882 4177721764 5222152205 10444304410 20888608820 26110761025 52221522050 104443044100