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20021100222112 = 2511715647141863
BaseRepresentation
bin1001000110101100001101…
…00100010001011010100000
32121212222221220020211220121
410203112012210101122200
510111011203124101422
6110325322205050024
74134322345655263
oct443260644213240
977788856224817
1020021100222112
1164199a0143230
1222b4281b56914
13b22c9b8b9472
144d30526dccda
1524abdc4cd8c7
hex1235869116a0

20021100222112 has 96 divisors (see below), whose sum is σ = 43613524168704. Its totient is φ = 8970671942400.

The previous prime is 20021100222037. The next prime is 20021100222127. The reversal of 20021100222112 is 21122200112002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141058893 + ... + 141200755.

It is an arithmetic number, because the mean of its divisors is an integer number (454307543424).

Almost surely, 220021100222112 is an apocalyptic number.

20021100222112 is a gapful number since it is divisible by the number (22) 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 20021100222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21806762084352).

20021100222112 is an abundant number, since it is smaller than the sum of its proper divisors (23592423946592).

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

20021100222112 is a wasteful number, since it uses less digits than its factorization.

20021100222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147602 (or 147594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20021100222112 its reverse (21122200112002), we get a palindrome (41143300334114).

The spelling of 20021100222112 in words is "twenty trillion, twenty-one billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 2272 3124 5647 6248 11294 12496 22588 24992 45176 62117 90352 124234 141863 180704 248468 283726 400937 496936 567452 801874 993872 1134904 1560493 1603748 1987744 2269808 3120986 3207496 4410307 4539616 6241972 6414992 8820614 10072273 12483944 12829984 17641228 20144546 24967888 35282456 40289092 49935776 70564912 80578184 110795003 141129824 161156368 221590006 322312736 443180012 801100361 886360024 1602200722 1772720048 3204401444 3545440096 6408802888 8812103971 12817605776 17624207942 25635211552 35248415884 56878125631 70496831768 113756251262 140993663536 227512502524 281987327072 455025005048 625659381941 910050010096 1251318763882 1820100020192 2502637527764 5005275055528 10010550111056 20021100222112