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20111100222000 = 2435311173000761
BaseRepresentation
bin1001001001010011110101…
…11111000001101000110000
32122012121021011010112212210
410210221322333001220300
510114000013124101000
6110434524545252120
74143656545231434
oct444517277015060
978177234115783
1020111100222000
116454084864227
1223097ba934040
13b2b61270b678
144d754d5da9c4
1524d20885a350
hex124a7afc1a30

20111100222000 has 160 divisors (see below), whose sum is σ = 64896255463104. Its totient is φ = 5358157056000.

The previous prime is 20111100221899. The next prime is 20111100222019. The reversal of 20111100222000 is 22200111102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5201620 + ... + 8202380.

Almost surely, 220111100222000 is an apocalyptic number.

20111100222000 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 20111100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32448127731552).

20111100222000 is an abundant number, since it is smaller than the sum of its proper divisors (44785155241104).

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

20111100222000 is a wasteful number, since it uses less digits than its factorization.

20111100222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001904 (or 3001888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20111100222000 its reverse (22200111102), we get a palindrome (20133300333102).

The spelling of 20111100222000 in words is "twenty trillion, one hundred eleven billion, one hundred million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1117 1200 1500 2000 2234 3000 3351 4468 5585 6000 6702 8936 11170 13404 16755 17872 22340 26808 27925 33510 44680 53616 55850 67020 83775 89360 111700 134040 139625 167550 223400 268080 279250 335100 418875 446800 558500 670200 837750 1117000 1340400 1675500 2234000 3000761 3351000 6001522 6702000 9002283 12003044 15003805 18004566 24006088 30007610 36009132 45011415 48012176 60015220 72018264 75019025 90022830 120030440 144036528 150038050 180045660 225057075 240060880 300076100 360091320 375095125 450114150 600152200 720182640 750190250 900228300 1125285375 1200304400 1500380500 1800456600 2250570750 3000761000 3351850037 3600913200 4501141500 6001522000 6703700074 9002283000 10055550111 13407400148 16759250185 18004566000 20111100222 26814800296 33518500370 40222200444 50277750555 53629600592 67037000740 80444400888 83796250925 100555501110 134074001480 160888801776 167592501850 201111002220 251388752775 268148002960 335185003700 402222004440 418981254625 502777505550 670370007400 804444008880 837962509250 1005555011100 1256943763875 1340740014800 1675925018500 2011110022200 2513887527750 3351850037000 4022220044400 5027775055500 6703700074000 10055550111000 20111100222000