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2011122300 = 22352112326497
BaseRepresentation
bin111011111011111…
…0100101001111100
312012011021121011010
41313313310221330
513104321403200
6531321155220
7100560154215
oct16767645174
95164247133
102011122300
11942253a50
1248162bb10
1326086c9c5
1415115240c
15bb85d150
hex77df4a7c

2011122300 has 144 divisors (see below), whose sum is σ = 6624076032. Its totient is φ = 466329600.

The previous prime is 2011122299. The next prime is 2011122307. The reversal of 2011122300 is 32211102.

It is a super-2 number, since 2×20111223002 = 8089225811114580000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011122307) 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, 62652 + ... + 89148.

It is an arithmetic number, because the mean of its divisors is an integer number (46000528).

Almost surely, 22011122300 is an apocalyptic number.

2011122300 is a gapful number since it is divisible by the number (20) 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 2011122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312038016).

2011122300 is an abundant number, since it is smaller than the sum of its proper divisors (4612953732).

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

2011122300 is a wasteful number, since it uses less digits than its factorization.

2011122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26548 (or 26541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011122300 is about 44845.5382396064. The cubic root of 2011122300 is about 1262.2522704470.

Adding to 2011122300 its reverse (32211102), we get a palindrome (2043333402).

The spelling of 2011122300 in words is "two billion, eleven million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 26497 37950 52994 75900 79491 105988 132485 158982 264970 291467 317964 397455 529940 582934 609431 662425 794910 874401 1165868 1218862 1324850 1457335 1589820 1748802 1828293 1987275 2437724 2649700 2914670 3047155 3497604 3656586 3974550 4372005 5829340 6094310 6703741 7286675 7313172 7949100 8744010 9141465 12188620 13407482 14573350 15235775 17488020 18282930 20111223 21860025 26814964 29146700 30471550 33518705 36565860 40222446 43720050 45707325 60943100 67037410 80444892 87440100 91414650 100556115 134074820 167593525 182829300 201112230 335187050 402224460 502780575 670374100 1005561150 2011122300