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1100200022000 = 24535989104761
BaseRepresentation
bin10000000000101001000…
…010000000111111110000
310220011210211102221022222
4100000221002000333300
5121011202201201000
62201231440420212
7142325660613032
oct20005102007760
93804724387288
101100200022000
11394657259532
12159286917668
137c99636c5a1
143b36dc93c52
151d943311a85
hex10029080ff0

1100200022000 has 160 divisors (see below), whose sum is σ = 2735796772800. Its totient is φ = 427756032000.

The previous prime is 1100200021981. The next prime is 1100200022027. The reversal of 1100200022000 is 2200020011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10449620 + ... + 10554380.

It is an arithmetic number, because the mean of its divisors is an integer number (17098729830).

Almost surely, 21100200022000 is an apocalyptic number.

1100200022000 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 1100200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367898386400).

1100200022000 is an abundant number, since it is smaller than the sum of its proper divisors (1635596750800).

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

1100200022000 is a wasteful number, since it uses less digits than its factorization.

1100200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104932 (or 104916 counting only the distinct ones).

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

Adding to 1100200022000 its reverse (2200020011), we get a palindrome (1102400042011).

The spelling of 1100200022000 in words is "one trillion, one hundred billion, two hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 89 100 118 125 178 200 236 250 295 356 400 445 472 500 590 712 890 944 1000 1180 1424 1475 1780 2000 2225 2360 2950 3560 4450 4720 5251 5900 7120 7375 8900 10502 11125 11800 14750 17800 21004 22250 23600 26255 29500 35600 42008 44500 52510 59000 84016 89000 104761 105020 118000 131275 178000 209522 210040 262550 419044 420080 523805 525100 656375 838088 1047610 1050200 1312750 1676176 2095220 2100400 2619025 2625500 4190440 5238050 5251000 6180899 8380880 9323729 10476100 10502000 12361798 13095125 18647458 20952200 24723596 26190250 30904495 37294916 41904400 46618645 49447192 52380500 61808990 74589832 93237290 98894384 104761000 123617980 149179664 154522475 186474580 209522000 233093225 247235960 309044950 372949160 466186450 494471920 550100011 618089900 745898320 772612375 932372900 1100200022 1165466125 1236179800 1545224750 1864745800 2200400044 2330932250 2472359600 2750500055 3090449500 3729491600 4400800088 4661864500 5501000110 6180899000 8801600176 9323729000 11002000220 12361798000 13752500275 18647458000 22004000440 27505000550 44008000880 55010001100 68762501375 110020002200 137525002750 220040004400 275050005500 550100011000 1100200022000