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10022210011000 = 2353111637556573
BaseRepresentation
bin1001000111010111101001…
…0001000111111101111000
31022111010002001021201020101
42101311322101013331320
52303200441230323000
633152050102405144
72053036464334045
oct221657221077570
938433061251211
1010022210011000
113214439300010
12115a455a307b4
1357912365b375
14269112b3a1cc
15125a79c06e6a
hex91d7a447f78

10022210011000 has 128 divisors (see below), whose sum is σ = 25599643392960. Its totient is φ = 3642207168000.

The previous prime is 10022210010973. The next prime is 10022210011087. The reversal of 10022210011000 is 11001222001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 17728714 + ... + 18285286.

Almost surely, 210022210011000 is an apocalyptic number.

10022210011000 is a gapful number since it is divisible by the number (10) 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 10022210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799821696480).

10022210011000 is an abundant number, since it is smaller than the sum of its proper divisors (15577433381960).

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

10022210011000 is a wasteful number, since it uses less digits than its factorization.

10022210011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558242 (or 558228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022210011000 its reverse (11001222001), we get a palindrome (10033211233001).

It can be divided in two parts, 1002221001 and 1000, that added together give a palindrome (1002222001).

The spelling of 10022210011000 in words is "ten trillion, twenty-two billion, two hundred ten million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1637 2200 2750 3274 5500 6548 8185 11000 13096 16370 18007 32740 36014 40925 65480 72028 81850 90035 144056 163700 180070 204625 327400 360140 409250 450175 556573 720280 818500 900350 1113146 1637000 1800700 2226292 2250875 2782865 3601400 4452584 4501750 5565730 6122303 9003500 11131460 12244606 13914325 18007000 22262920 24489212 27828650 30611515 48978424 55657300 61223030 69571625 111314600 122446060 139143250 153057575 244892120 278286500 306115150 556573000 612230300 765287875 911110001 1224460600 1530575750 1822220002 3061151500 3644440004 4555550005 6122303000 7288880008 9111100010 10022210011 18222200020 20044420022 22777750025 36444400040 40088840044 45555500050 50111050055 80177680088 91111000100 100222100110 113888750125 182222000200 200444200220 227777500250 250555250275 400888400440 455555000500 501110500550 911110001000 1002221001100 1252776251375 2004442002200 2505552502750 5011105005500 10022210011000