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20030021121000 = 2335311606970337
BaseRepresentation
bin1001000110111100110100…
…10010110011001111101000
32121220211222121111110121010
410203132122102303033220
510111132440401333000
6110333355322543520
74135056411235662
oct443363222631750
977824877443533
1020030021121000
116422758817640
1222b5b51667ba0
13b23a90b62567
144d365b403532
1524b060782d50
hex12379a4b33e8

20030021121000 has 128 divisors (see below), whose sum is σ = 68174908364160. Its totient is φ = 4855762688000.

The previous prime is 20030021120999. The next prime is 20030021121001. The reversal of 20030021121000 is 12112003002.

It is an interprime number because it is at equal distance from previous prime (20030021120999) and next prime (20030021121001).

It is a super-2 number, since 2×200300211210002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20030021121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303452169 + ... + 303518168.

It is an arithmetic number, because the mean of its divisors is an integer number (532616471595).

Almost surely, 220030021121000 is an apocalyptic number.

20030021121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20030021121000 is an abundant number, since it is smaller than the sum of its proper divisors (48144887243160).

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

20030021121000 is a wasteful number, since it uses less digits than its factorization.

20030021121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606970372 (or 606970358 counting only the distinct ones).

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

Adding to 20030021121000 its reverse (12112003002), we get a palindrome (20042133124002).

The spelling of 20030021121000 in words is "twenty trillion, thirty billion, twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 606970337 1213940674 1820911011 2427881348 3034851685 3641822022 4855762696 6069703370 6676673707 7283644044 9104555055 12139406740 13353347414 14567288088 15174258425 18209110110 20030021121 24278813480 26706694828 30348516850 33383368535 36418220220 40060042242 45522775275 53413389656 60697033700 66766737070 72836440440 75871292125 80120084484 91045550550 100150105605 121394067400 133533474140 151742584250 160240168968 166916842675 182091101100 200300211210 227613876375 267066948280 303485168500 333833685350 364182202200 400600422420 455227752750 500750528025 606970337000 667667370700 801200844840 834584213375 910455505500 1001501056050 1335334741400 1669168426750 1820911011000 2003002112100 2503752640125 3338336853500 4006004224200 5007505280250 6676673707000 10015010560500 20030021121000