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3105103872 = 2133139719
BaseRepresentation
bin1011100100010100…
…0010000000000000
322000101210121202010
42321011002000000
522324401310442
61232041052520
7136642642653
oct27105020000
98011717663
103105103872
111353828552
12727a87140
133a63c4190
1421656589a
15132905b9c
hexb9142000

3105103872 has 112 divisors (see below), whose sum is σ = 8917594560. Its totient is φ = 955318272.

The previous prime is 3105103867. The next prime is 3105103877. The reversal of 3105103872 is 2783015013.

It is an interprime number because it is at equal distance from previous prime (3105103867) and next prime (3105103877).

It is not an unprimeable number, because it can be changed into a prime (3105103877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314629 + ... + 324347.

It is an arithmetic number, because the mean of its divisors is an integer number (79621380).

Almost surely, 23105103872 is an apocalyptic number.

3105103872 is a gapful number since it is divisible by the number (32) 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 3105103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458797280).

3105103872 is an abundant number, since it is smaller than the sum of its proper divisors (5812490688).

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

3105103872 is an equidigital number, since it uses as much as digits as its factorization.

3105103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 3105103872 is about 55723.4589019741. The cubic root of 3105103872 is about 1458.8995072220.

Adding to 3105103872 its reverse (2783015013), we get a palindrome (5888118885).

The spelling of 3105103872 in words is "three billion, one hundred five million, one hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9719 9984 12288 13312 19438 19968 24576 26624 29157 38876 39936 53248 58314 77752 79872 106496 116628 126347 155504 159744 233256 252694 311008 319488 379041 466512 505388 622016 758082 933024 1010776 1244032 1516164 1866048 2021552 2488064 3032328 3732096 4043104 4976128 6064656 7464192 8086208 9952256 12129312 14928384 16172416 19904512 24258624 29856768 32344832 39809024 48517248 59713536 64689664 79618048 97034496 119427072 129379328 194068992 238854144 258758656 388137984 517517312 776275968 1035034624 1552551936 3105103872