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201100202220 = 2235177919912541
BaseRepresentation
bin1011101101001010000…
…0011001000011101100
3201020002000111202012210
42323102200121003230
511243323122432340
6232214551130420
720346310341441
oct2732240310354
9636060452183
10201100202220
1178316904435
1232b84073a10
1315c6b240bc8
149a3a2739c8
15536ed4a180
hex2ed28190ec

201100202220 has 192 divisors, whose sum is σ = 606832128000. Its totient is φ = 49578946560.

The previous prime is 201100202213. The next prime is 201100202231. The reversal of 201100202220 is 22202001102.

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 = 201100202196 and 201100202205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16029150 + ... + 16041690.

It is an arithmetic number, because the mean of its divisors is an integer number (3160584000).

Almost surely, 2201100202220 is an apocalyptic number.

201100202220 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 201100202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303416064000).

201100202220 is an abundant number, since it is smaller than the sum of its proper divisors (405731925780).

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

201100202220 is a wasteful number, since it uses less digits than its factorization.

201100202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201100202220 its reverse (22202001102), we get a palindrome (223302203322).

The spelling of 201100202220 in words is "two hundred one billion, one hundred million, two hundred two thousand, two hundred twenty".