Search a number
-
+
3105300000 = 2535511941
BaseRepresentation
bin1011100100010111…
…0001111000100000
322000102011120210010
42321011301320200
522324424100000
61232045204520
7136644420525
oct27105617040
98012146703
103105300000
111353951940
12727b60740
133a646252a
142165b714c
15132943d50
hexb9171e20

3105300000 has 288 divisors, whose sum is σ = 11126662848. Its totient is φ = 752000000.

The previous prime is 3105299969. The next prime is 3105300007. The reversal of 3105300000 is 35013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3105300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3299530 + ... + 3300470.

It is an arithmetic number, because the mean of its divisors is an integer number (38634246).

Almost surely, 23105300000 is an apocalyptic number.

3105300000 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 3105300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563331424).

3105300000 is an abundant number, since it is smaller than the sum of its proper divisors (8021362848).

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

3105300000 is an equidigital number, since it uses as much as digits as its factorization.

3105300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 3105300000 is about 55725.2187075116. The cubic root of 3105300000 is about 1458.9302227826.

Adding to 3105300000 its reverse (35013), we get a palindrome (3105335013).

The spelling of 3105300000 in words is "three billion, one hundred five million, three hundred thousand".