Search a number
-
+
3051341012000 = 25533765331573
BaseRepresentation
bin101100011001110010000…
…110001101110000100000
3101210201001012102220201002
4230121302012031300200
5344443121244341000
610253433335331132
7433311034441601
oct54316206156040
911721035386632
103051341012000
11a770804a8a06
12413453b20aa8
13191981366c48
14a7985781da8
155458bbca8d5
hex2c67218dc20

3051341012000 has 192 divisors, whose sum is σ = 7711806027744. Its totient is φ = 1185692774400.

The previous prime is 3051341011993. The next prime is 3051341012003. The reversal of 3051341012000 is 2101431503.

It can be written as a sum of positive squares in 16 ways, for example, as 74570501776 + 2976770510224 = 273076^2 + 1725332^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3051341012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96628214 + ... + 96659786.

Almost surely, 23051341012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3051341012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855903013872).

3051341012000 is an abundant number, since it is smaller than the sum of its proper divisors (4660465015744).

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

3051341012000 is a wasteful number, since it uses less digits than its factorization.

3051341012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32288 (or 32270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 3051341012000 its reverse (2101431503), we get a palindrome (3053442443503).

The spelling of 3051341012000 in words is "three trillion, fifty-one billion, three hundred forty-one million, twelve thousand".