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201022102200 = 233522315196469
BaseRepresentation
bin1011101100110111011…
…0011101101010111000
3201012212120112212010110
42323031312131222320
511243143124232300
6232203121144320
720344341450543
oct2731566355270
9635776485113
10201022102200
1178286810767
1232b61a8b0a0
1315c57cc758a
149a2db4385a
15536806e550
hex2ecdd9dab8

201022102200 has 192 divisors, whose sum is σ = 654575961600. Its totient is φ = 50935104000.

The previous prime is 201022102189. The next prime is 201022102201. The reversal of 201022102200 is 2201220102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2035566 + ... + 2132034.

It is an arithmetic number, because the mean of its divisors is an integer number (3409249800).

Almost surely, 2201022102200 is an apocalyptic number.

201022102200 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 201022102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327287980800).

201022102200 is an abundant number, since it is smaller than the sum of its proper divisors (453553859400).

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

201022102200 is a wasteful number, since it uses less digits than its factorization.

201022102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96662 (or 96653 counting only the distinct ones).

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

Adding to 201022102200 its reverse (2201220102), we get a palindrome (203223322302).

The spelling of 201022102200 in words is "two hundred one billion, twenty-two million, one hundred two thousand, two hundred".