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22003020203000 = 2353712811102853
BaseRepresentation
bin1010000000010111110100…
…01101000000001111111000
32212220110122022100120021012
411000023322031000033320
510340444141132444000
6114444014204333052
74430444231565344
oct500137215001770
985813568316235
1022003020203000
117013479318061
1225743bab44188
13c37b50484275
14560d47c92624
15282538098735
hex1402fa3403f8

22003020203000 has 128 divisors (see below), whose sum is σ = 52398093421440. Its totient is φ = 8646359680000.

The previous prime is 22003020202957. The next prime is 22003020203039. The reversal of 22003020203000 is 30202030022.

It is a super-2 number, since 2×220030202030002 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 19399574 + ... + 20502426.

It is an arithmetic number, because the mean of its divisors is an integer number (409360104855).

Almost surely, 222003020203000 is an apocalyptic number.

22003020203000 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 22003020203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199046710720).

22003020203000 is an abundant number, since it is smaller than the sum of its proper divisors (30395073218440).

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

22003020203000 is a wasteful number, since it uses less digits than its factorization.

22003020203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103226 (or 1103212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 22003020203000 its reverse (30202030022), we get a palindrome (22033222233022).

It can be divided in two parts, 2 and 2003020203000, that added together give a palindrome (2003020203002).

The spelling of 22003020203000 in words is "twenty-two trillion, three billion, twenty million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 281 284 355 500 562 568 710 1000 1124 1405 1420 1775 2248 2810 2840 3550 5620 7025 7100 8875 11240 14050 14200 17750 19951 28100 35125 35500 39902 56200 70250 71000 79804 99755 140500 159608 199510 281000 399020 498775 798040 997550 1102853 1995100 2205706 2493875 3990200 4411412 4987750 5514265 8822824 9975500 11028530 19951000 22057060 27571325 44114120 55142650 78302563 110285300 137856625 156605126 220570600 275713250 309901693 313210252 391512815 551426500 619803386 626420504 783025630 1102853000 1239606772 1549508465 1566051260 1957564075 2479213544 3099016930 3132102520 3915128150 6198033860 7747542325 7830256300 9787820375 12396067720 15495084650 15660512600 19575640750 22003020203 30990169300 38737711625 39151281500 44006040406 61980338600 77475423250 78302563000 88012080812 110015101015 154950846500 176024161624 220030202030 309901693000 440060404060 550075505075 880120808120 1100151010150 2200302020300 2750377525375 4400604040600 5500755050750 11001510101500 22003020203000