Search a number
-
+
3047222135100 = 223521113418320873
BaseRepresentation
bin101100010101111100100…
…101111100100100111100
3101210022102011001021210210
4230111330211330210330
5344411202331310400
610251512521432420
7433104001532253
oct54257445744474
911708364037723
103047222135100
11a753574aa810
124126a463b710
13191475c22890
14a76b472579a
15543ea2c2950
hex2c57c97c93c

3047222135100 has 576 divisors, whose sum is σ = 10738985660928. Its totient is φ = 657217536000.

The previous prime is 3047222134987. The next prime is 3047222135119. The reversal of 3047222135100 is 15312227403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145978264 + ... + 145999136.

It is an arithmetic number, because the mean of its divisors is an integer number (18644072328).

Almost surely, 23047222135100 is an apocalyptic number.

3047222135100 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 3047222135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369492830464).

3047222135100 is an abundant number, since it is smaller than the sum of its proper divisors (7691763525828).

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

3047222135100 is a wasteful number, since it uses less digits than its factorization.

3047222135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038 (or 21031 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 3047222135100 in words is "three trillion, forty-seven billion, two hundred twenty-two million, one hundred thirty-five thousand, one hundred".