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110002001220200 = 23528912011514519
BaseRepresentation
bin11001000000101111010110…
…001101010001001001101000
3112102111002101121012022010202
4121000233112031101021220
5103404233044303021300
61025542115520531332
732112245064563015
oct3100572615211150
9472432347168122
10110002001220200
113206064aa40591
121040715b780b48
13494c1b4a8501b
141d241a7a3670c
15cab610266ad5
hex640bd6351268

110002001220200 has 96 divisors (see below), whose sum is σ = 258650335944000. Its totient is φ = 43502702707200.

The previous prime is 110002001220151. The next prime is 110002001220203. The reversal of 110002001220200 is 2022100200011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110002001220203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213538541 + ... + 214053059.

It is an arithmetic number, because the mean of its divisors is an integer number (2694274332750).

Almost surely, 2110002001220200 is an apocalyptic number.

110002001220200 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 110002001220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129325167972000).

110002001220200 is an abundant number, since it is smaller than the sum of its proper divisors (148648334723800).

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

110002001220200 is a wasteful number, since it uses less digits than its factorization.

110002001220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526635 (or 526626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110002001220200 its reverse (2022100200011), we get a palindrome (112024101420211).

The spelling of 110002001220200 in words is "one hundred ten trillion, two billion, one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 12011 17800 24022 48044 60055 96088 120110 240220 300275 480440 514519 600550 1029038 1068979 1201100 2058076 2137958 2402200 2572595 4116152 4275916 5145190 5344895 8551832 10290380 10689790 12862975 20580760 21379580 25725950 26724475 42759160 45792191 51451900 53448950 91584382 102903800 106897900 183168764 213795800 228960955 366337528 457921910 915843820 1144804775 1831687640 2289609550 4579219100 6179887709 9158438200 12359775418 24719550836 30899438545 49439101672 61798877090 123597754180 154497192725 247195508360 308994385450 550010006101 617988770900 1100020012202 1235977541800 2200040024404 2750050030505 4400080048808 5500100061010 11000200122020 13750250152525 22000400244040 27500500305050 55001000610100 110002001220200