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3105085104 = 2438112689
BaseRepresentation
bin1011100100010011…
…1101011010110000
322000101202200000000
42321010331122300
522324400210404
61232040430000
7136642534152
oct27104753260
98011680000
103105085104
111353815440
12727a78300
133a63b8784
1421655cad2
15132900339
hexb913d6b0

3105085104 has 180 divisors, whose sum is σ = 9847691880. Its totient is φ = 940584960.

The previous prime is 3105085097. The next prime is 3105085111. The reversal of 3105085104 is 4015805013.

3105085104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3105085097) and next prime (3105085111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1153392 + ... + 1156080.

Almost surely, 23105085104 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 3105085104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923845940).

3105085104 is an abundant number, since it is smaller than the sum of its proper divisors (6742606776).

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

3105085104 is an equidigital number, since it uses as much as digits as its factorization.

3105085104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 3105085104 is about 55723.2904986775. The cubic root of 3105085104 is about 1458.8965679021.

The spelling of 3105085104 in words is "three billion, one hundred five million, eighty-five thousand, one hundred four".