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2001112300 = 2252111995747
BaseRepresentation
bin111011101000110…
…1000110011101100
312011110110001000101
41313101220303230
513044241043200
6530322440444
7100406113435
oct16721506354
95143401011
102001112300
11937637320
1247a203124
1325b776725
1414daa848c
15baa3226a
hex77468cec

2001112300 has 72 divisors (see below), whose sum is σ = 4986555840. Its totient is φ = 689371200.

The previous prime is 2001112291. The next prime is 2001112303. The reversal of 2001112300 is 32111002.

It is a super-2 number, since 2×20011123002 = 8008900874422580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2001112303) 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 23 ways as a sum of consecutive naturals, for example, 26974 + ... + 68773.

It is an arithmetic number, because the mean of its divisors is an integer number (69257720).

Almost surely, 22001112300 is an apocalyptic number.

2001112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001112300 is an abundant number, since it is smaller than the sum of its proper divisors (2985443540).

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

2001112300 is a wasteful number, since it uses less digits than its factorization.

2001112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95791 (or 95784 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2001112300 is about 44733.7937134780. The cubic root of 2001112300 is about 1260.1545749725.

Adding to 2001112300 its reverse (32111002), we get a palindrome (2033223302).

The spelling of 2001112300 in words is "two billion, one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 95747 191494 382988 478735 957470 1053217 1819193 1914940 2106434 2393675 3638386 4212868 4787350 5266085 7276772 9095965 9574700 10532170 18191930 20011123 21064340 26330425 36383860 40022246 45479825 52660850 80044492 90959650 100055615 105321700 181919300 200111230 400222460 500278075 1000556150 2001112300