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23131002300 = 22352725742859
BaseRepresentation
bin10101100010101101…
…110001010110111100
32012201001001122221220
4111202231301112330
5334333014033200
614343133353340
71446131163330
oct254255612674
965631048856
1023131002300
11989a93642a
124596638850
132248268c13
14119606d7c0
15905a8a4a0
hex562b715bc

23131002300 has 144 divisors (see below), whose sum is σ = 76785918720. Its totient is φ = 5266391040.

The previous prime is 23131002289. The next prime is 23131002311. The reversal of 23131002300 is 320013132.

It is an interprime number because it is at equal distance from previous prime (23131002289) and next prime (23131002311).

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 23131002300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518271 + ... + 561129.

Almost surely, 223131002300 is an apocalyptic number.

23131002300 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 23131002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38392959360).

23131002300 is an abundant number, since it is smaller than the sum of its proper divisors (53654916420).

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

23131002300 is a wasteful number, since it uses less digits than its factorization.

23131002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43140 (or 43133 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23131002300 its reverse (320013132), we get a palindrome (23451015432).

The spelling of 23131002300 in words is "twenty-three billion, one hundred thirty-one million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 257 300 350 420 514 525 700 771 1028 1050 1285 1542 1799 2100 2570 3084 3598 3855 5140 5397 6425 7196 7710 8995 10794 12850 15420 17990 19275 21588 25700 26985 35980 38550 42859 44975 53970 77100 85718 89950 107940 128577 134925 171436 179900 214295 257154 269850 300013 428590 514308 539700 600026 642885 857180 900039 1071475 1200052 1285770 1500065 1800078 2142950 2571540 3000130 3214425 3600156 4285900 4500195 6000260 6428850 7500325 9000390 11014763 12857700 15000650 18000780 22029526 22500975 30001300 33044289 44059052 45001950 55073815 66088578 77103341 90003900 110147630 132177156 154206682 165221445 220295260 231310023 275369075 308413364 330442890 385516705 462620046 550738150 660885780 771033410 826107225 925240092 1101476300 1156550115 1542066820 1652214450 1927583525 2313100230 3304428900 3855167050 4626200460 5782750575 7710334100 11565501150 23131002300