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2012102200 = 235219352127
BaseRepresentation
bin111011111101110…
…0011111000111000
312012020010101022201
41313323203320320
513110044232300
6531354155544
7100601405113
oct16773437070
95166111281
102012102200
11942863189
12481a22bb4
13260b23a24
1415132957a
15bb9a366a
hex77ee3e38

2012102200 has 48 divisors (see below), whose sum is σ = 4702466880. Its totient is φ = 800655360.

The previous prime is 2012102189. The next prime is 2012102203. The reversal of 2012102200 is 22012102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012102203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12537 + ... + 64663.

It is an arithmetic number, because the mean of its divisors is an integer number (97968060).

Almost surely, 22012102200 is an apocalyptic number.

2012102200 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 2012102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351233440).

2012102200 is an abundant number, since it is smaller than the sum of its proper divisors (2690364680).

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

2012102200 is a wasteful number, since it uses less digits than its factorization.

2012102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52336 (or 52327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2012102200 is about 44856.4621877383. The cubic root of 2012102200 is about 1262.4572439201.

Adding to 2012102200 its reverse (22012102), we get a palindrome (2034114302).

The spelling of 2012102200 in words is "two billion, twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 7720 9650 19300 38600 52127 104254 208508 260635 417016 521270 1042540 1303175 2085080 2606350 5212700 10060511 10425400 20121022 40242044 50302555 80484088 100605110 201210220 251512775 402420440 503025550 1006051100 2012102200