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20011222310000 = 24548059248309
BaseRepresentation
bin1001000110011001110011…
…10011000001110001110000
32121212001110111012220212212
410203030321303001301300
510110330440402410000
6110321010103111252
74133522513051555
oct443147163016160
977761414186785
1020011222310000
1164157913366a9
1222b2385a42528
13b220862a735c
144d279687aa2c
1524a8101d9c35
hex123339cc1c70

20011222310000 has 100 divisors (see below), whose sum is σ = 48455377284600. Its totient is φ = 8003463456000.

The previous prime is 20011222309987. The next prime is 20011222310021. The reversal of 20011222310000 is 1322211002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×200112223100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80465846 + ... + 80714154.

It is an arithmetic number, because the mean of its divisors is an integer number (484553772846).

Almost surely, 220011222310000 is an apocalyptic number.

20011222310000 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 20011222310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227688642300).

20011222310000 is an abundant number, since it is smaller than the sum of its proper divisors (28444154974600).

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

20011222310000 is an equidigital number, since it uses as much as digits as its factorization.

20011222310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256396 (or 256375 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20011222310000 its reverse (1322211002), we get a palindrome (20012544521002).

The spelling of 20011222310000 in words is "twenty trillion, eleven billion, two hundred twenty-two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8059 10000 16118 32236 40295 64472 80590 128944 161180 201475 248309 322360 402950 496618 644720 805900 993236 1007375 1241545 1611800 1986472 2014750 2483090 3223600 3972944 4029500 4966180 5036875 6207725 8059000 9932360 10073750 12415450 16118000 19864720 20147500 24830900 31038625 40295000 49661800 62077250 80590000 99323600 124154500 155193125 248309000 310386250 496618000 620772500 1241545000 2001122231 2483090000 4002244462 8004488924 10005611155 16008977848 20011222310 32017955696 40022444620 50028055775 80044889240 100056111550 160089778480 200112223100 250140278875 400224446200 500280557750 800448892400 1000561115500 1250701394375 2001122231000 2501402788750 4002244462000 5002805577500 10005611155000 20011222310000