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23303210213000 = 235380985333769
BaseRepresentation
bin1010100110001101100111…
…00100010001111010001000
310001111202122210020112012202
411103012303210101322020
511023244433303304000
6121321202540455332
74623413162406044
oct523066344217210
9101452583215182
1023303210213000
117474921719603
122744399b4a548
131000638a48853
145a7c4a77d024
152a6283a02dd5
hex1531b3911e88

23303210213000 has 128 divisors (see below), whose sum is σ = 54662539932000. Its totient is φ = 9298572595200.

The previous prime is 23303210212957. The next prime is 23303210213009. The reversal of 23303210213000 is 31201230332.

It can be written as a sum of positive squares in 16 ways, for example, as 142341707524 + 23160868505476 = 377282^2 + 4812574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23303210213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690060116 + ... + 690093884.

Almost surely, 223303210213000 is an apocalyptic number.

23303210213000 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 23303210213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331269966000).

23303210213000 is an abundant number, since it is smaller than the sum of its proper divisors (31359329719000).

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

23303210213000 is a wasteful number, since it uses less digits than its factorization.

23303210213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35452 (or 35438 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23303210213000 its reverse (31201230332), we get a palindrome (23334411443332).

The spelling of 23303210213000 in words is "twenty-three trillion, three hundred three billion, two hundred ten million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 809 853 1000 1618 1706 3236 3412 4045 4265 6472 6824 8090 8530 16180 17060 20225 21325 32360 33769 34120 40450 42650 67538 80900 85300 101125 106625 135076 161800 168845 170600 202250 213250 270152 337690 404500 426500 675380 690077 809000 844225 853000 1350760 1380154 1688450 2760308 3376900 3450385 4221125 5520616 6753800 6900770 8442250 13801540 16884500 17251925 27319121 27603080 28804957 33769000 34503850 54638242 57609914 69007700 86259625 109276484 115219828 136595605 138015400 144024785 172519250 218552968 230439656 273191210 288049570 345038500 546382420 576099140 682978025 690077000 720123925 1092764840 1152198280 1365956050 1440247850 2731912100 2880495700 3414890125 3600619625 5463824200 5760991400 6829780250 7201239250 13659560500 14402478500 23303210213 27319121000 28804957000 46606420426 93212840852 116516051065 186425681704 233032102130 466064204260 582580255325 932128408520 1165160510650 2330321021300 2912901276625 4660642042600 5825802553250 11651605106500 23303210213000