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2112010200200 = 2352103205349939
BaseRepresentation
bin11110101110111101100…
…111100010010010001000
321110220110121210120121102
4132232331213202102020
5234100344102401300
64254124420200532
7305405403332345
oct36567547422210
97426417716542
102112010200200
1174477577507a
122a13a3b39148
1312421436a344
1474316a257cc
1539e118000d5
hex1ebbd9e2488

2112010200200 has 96 divisors (see below), whose sum is σ = 4960612113600. Its totient is φ = 836177852160.

The previous prime is 2112010200199. The next prime is 2112010200203. The reversal of 2112010200200 is 20020102112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2112010200203) 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, 42266831 + ... + 42316769.

It is an arithmetic number, because the mean of its divisors is an integer number (51673042850).

Almost surely, 22112010200200 is an apocalyptic number.

2112010200200 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 2112010200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480306056800).

2112010200200 is an abundant number, since it is smaller than the sum of its proper divisors (2848601913400).

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

2112010200200 is a wasteful number, since it uses less digits than its factorization.

2112010200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52111 (or 52102 counting only the distinct ones).

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

Adding to 2112010200200 its reverse (20020102112), we get a palindrome (2132030302312).

The spelling of 2112010200200 in words is "two trillion, one hundred twelve billion, ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2053 2060 2575 4106 4120 5150 8212 10265 10300 16424 20530 20600 41060 49939 51325 82120 99878 102650 199756 205300 211459 249695 399512 410600 422918 499390 845836 998780 1057295 1248475 1691672 1997560 2114590 2496950 4229180 4993900 5143717 5286475 8458360 9987800 10287434 10572950 20574868 21145900 25718585 41149736 42291800 51437170 102524767 102874340 128592925 205049534 205748680 257185850 410099068 512623835 514371700 820198136 1025247670 1028743400 2050495340 2563119175 4100990680 5126238350 10252476700 10560051001 20504953400 21120102002 42240204004 52800255005 84480408008 105600510010 211201020020 264001275025 422402040040 528002550050 1056005100100 2112010200200