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1100012200020 = 2232537991166667
BaseRepresentation
bin10000000000011101110…
…101100010000001010100
310220011022202000121000100
4100000131311202001110
5121010311110400040
62201201051014100
7142321220266056
oct20003565420124
93804282017010
101100012200020
11394570234058
12159233a3a330
137c96648a316
143b352d618d6
151d931ab0b30
hex1001dd62054

1100012200020 has 144 divisors (see below), whose sum is σ = 3430363442688. Its totient is φ = 285118859520.

The previous prime is 1100012200009. The next prime is 1100012200033. The reversal of 1100012200020 is 200022100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100012199975 and 1100012200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6516727 + ... + 6683393.

It is an arithmetic number, because the mean of its divisors is an integer number (23821968352).

Almost surely, 21100012200020 is an apocalyptic number.

1100012200020 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 1100012200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715181721344).

1100012200020 is an abundant number, since it is smaller than the sum of its proper divisors (2330351242668).

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

1100012200020 is a wasteful number, since it uses less digits than its factorization.

1100012200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167710 (or 167705 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100012200020 its reverse (200022100011), we get a palindrome (1300034300031).

The spelling of 1100012200020 in words is "one trillion, one hundred billion, twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 991 1110 1332 1665 1982 2220 2973 3330 3964 4955 5946 6660 8919 9910 11892 14865 17838 19820 29730 35676 36667 44595 59460 73334 89190 110001 146668 166667 178380 183335 220002 330003 333334 366670 440004 500001 550005 660006 666668 733340 833335 1000002 1100010 1320012 1500003 1650015 1666670 2000004 2200020 2500005 3000006 3300030 3333340 5000010 6000012 6166679 6600060 7500015 10000020 12333358 15000030 18500037 24666716 30000060 30833395 37000074 55500111 61666790 74000148 92500185 111000222 123333580 165166997 185000370 222000444 277500555 330333994 370000740 495500991 555001110 660667988 825834985 991001982 1110002220 1486502973 1651669970 1982003964 2477504955 2973005946 3303339940 4955009910 5946011892 6111178889 7432514865 9910019820 12222357778 14865029730 18333536667 24444715556 29730059460 30555894445 36667073334 55000610001 61111788890 73334146668 91667683335 110001220002 122223577780 183335366670 220002440004 275003050005 366670733340 550006100010 1100012200020