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20003122013300 = 22522367311417383
BaseRepresentation
bin1001000110001010101101…
…11110110110010001110100
32121211021112222002012202222
410203011112332312101310
510110212343213411200
6110313150221421512
74133115003502316
oct443052676662164
977737488065688
1020003122013300
116412304994918
1222b08a510a898
13b2139504869a
144d2228b457b6
1524a4d8ecbd85
hex123156fb6474

20003122013300 has 144 divisors (see below), whose sum is σ = 46117980260352. Its totient is φ = 7514879433600.

The previous prime is 20003122013291. The next prime is 20003122013351. The reversal of 20003122013300 is 331022130002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47716409 + ... + 48133791.

It is an arithmetic number, because the mean of its divisors is an integer number (320263751808).

Almost surely, 220003122013300 is an apocalyptic number.

20003122013300 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 20003122013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23058990130176).

20003122013300 is an abundant number, since it is smaller than the sum of its proper divisors (26114858247052).

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

20003122013300 is a wasteful number, since it uses less digits than its factorization.

20003122013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417798 (or 417791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20003122013300 its reverse (331022130002), we get a palindrome (20334144143302).

The spelling of 20003122013300 in words is "twenty trillion, three billion, one hundred twenty-two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 67 92 100 115 134 230 268 311 335 460 575 622 670 1150 1244 1340 1541 1555 1675 2300 3082 3110 3350 6164 6220 6700 7153 7705 7775 14306 15410 15550 20837 28612 30820 31100 35765 38525 41674 71530 77050 83348 104185 143060 154100 178825 208370 357650 416740 417383 479251 520925 715300 834766 958502 1041850 1669532 1917004 2083700 2086915 2396255 4173830 4792510 8347660 9585020 9599809 10434575 11981275 19199618 20869150 23962550 27964661 38399236 41738300 47925100 47999045 55929322 95998090 111858644 129806113 139823305 191996180 239995225 259612226 279646610 479990450 519224452 559293220 643187203 649030565 699116525 959980900 1286374406 1298061130 1398233050 2572748812 2596122260 2796466100 2985540599 3215936015 3245152825 5971081198 6431872030 6490305650 8697009571 11942162396 12863744060 12980611300 14927702995 16079680075 17394019142 29855405990 32159360150 34788038284 43485047855 59710811980 64318720300 74638514975 86970095710 149277029950 173940191420 200031220133 217425239275 298554059900 400062440266 434850478550 800124880532 869700957100 1000156100665 2000312201330 4000624402660 5000780503325 10001561006650 20003122013300