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2000201112200 = 235289320335083
BaseRepresentation
bin11101000110110101010…
…001101101101010001000
321002012212110021102001002
4131012311101231222020
5230232402441042300
64130514003314132
7264336563634014
oct35066521555210
97065773242032
102000201112200
1170130a423415
1228379b37b948
1311680611a985
146cb4b481544
153706a9a65d5
hex1d1b546da88

2000201112200 has 96 divisors (see below), whose sum is σ = 4704322341600. Its totient is φ = 790821250560.

The previous prime is 2000201112191. The next prime is 2000201112211. The reversal of 2000201112200 is 22111020002.

It is a happy number.

It is a super-2 number, since 2×20002011122002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56995859 + ... + 57030941.

It is an arithmetic number, because the mean of its divisors is an integer number (49003357725).

Almost surely, 22000201112200 is an apocalyptic number.

2000201112200 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 2000201112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352161170800).

2000201112200 is an abundant number, since it is smaller than the sum of its proper divisors (2704121229400).

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

2000201112200 is a wasteful number, since it uses less digits than its factorization.

2000201112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38391 (or 38382 counting only the distinct ones).

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

Adding to 2000201112200 its reverse (22111020002), we get a palindrome (2022312132202).

The spelling of 2000201112200 in words is "two trillion, two hundred one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3203 3560 4450 6406 8900 12812 16015 17800 25624 32030 35083 64060 70166 80075 128120 140332 160150 175415 280664 285067 320300 350830 570134 640600 701660 877075 1140268 1403320 1425335 1754150 2280536 2850670 3122387 3508300 5701340 6244774 7016600 7126675 11402680 12489548 14253350 15611935 24979096 28506700 31223870 57013400 62447740 78059675 112370849 124895480 156119350 224741698 312238700 449483396 561854245 624477400 898966792 1123708490 2247416980 2809271225 4494833960 5618542450 10001005561 11237084900 20002011122 22474169800 40004022244 50005027805 80008044488 100010055610 200020111220 250025139025 400040222440 500050278050 1000100556100 2000201112200