Search a number
-
+
3011133120 = 26353136597
BaseRepresentation
bin1011001101111010…
…0011111011000000
321202211222102002220
42303132203323000
522131322224440
61214443011040
7134422131522
oct26336437300
97684872086
103011133120
111305784976
12700509a80
1338cab1a98
14207ca3a12
151295428d0
hexb37a3ec0

3011133120 has 56 divisors (see below), whose sum is σ = 9560350704. Its totient is φ = 802968576.

The previous prime is 3011133089. The next prime is 3011133121. The reversal of 3011133120 is 213311103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3011133120.

It is not an unprimeable number, because it can be changed into a prime (3011133121) 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 7 ways as a sum of consecutive naturals, for example, 1567339 + ... + 1569258.

Almost surely, 23011133120 is an apocalyptic number.

3011133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3011133120 is an abundant number, since it is smaller than the sum of its proper divisors (6549217584).

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

3011133120 is a wasteful number, since it uses less digits than its factorization.

3011133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136617 (or 3136607 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3011133120 is about 54873.7926518662. The cubic root of 3011133120 is about 1444.0314498615.

Adding to 3011133120 its reverse (213311103), we get a palindrome (3224444223).

The spelling of 3011133120 in words is "three billion, eleven million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3136597 6273194 9409791 12546388 15682985 18819582 25092776 31365970 37639164 47048955 50185552 62731940 75278328 94097910 100371104 125463880 150556656 188195820 200742208 250927760 301113312 376391640 501855520 602226624 752783280 1003711040 1505566560 3011133120