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201112001220 = 2235136714292693
BaseRepresentation
bin1011101101001100110…
…1011001101011000100
3201020002211201012101210
42323103031121223010
511243334133014340
6232220052051420
720346512543034
oct2732315315304
9636084635353
10201112001220
1178322533179
1232b88003b70
1315c70812570
149a3ba658c4
155370dcb180
hex2ed3359ac4

201112001220 has 192 divisors, whose sum is σ = 616140645120. Its totient is φ = 48713398272.

The previous prime is 201112001177. The next prime is 201112001227. The reversal of 201112001220 is 22100211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201112001196 and 201112001205.

It is not an unprimeable number, because it can be changed into a prime (201112001227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74678194 + ... + 74680886.

It is an arithmetic number, because the mean of its divisors is an integer number (3209065860).

Almost surely, 2201112001220 is an apocalyptic number.

201112001220 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 201112001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308070322560).

201112001220 is an abundant number, since it is smaller than the sum of its proper divisors (415028643900).

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

201112001220 is a wasteful number, since it uses less digits than its factorization.

201112001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201112001220 its reverse (22100211102), we get a palindrome (223212212322).

The spelling of 201112001220 in words is "two hundred one billion, one hundred twelve million, one thousand, two hundred twenty".