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201022100 = 22522010221
BaseRepresentation
bin10111111101101…
…01101010010100
3112000020222110222
423332311222110
5402430201400
631540333512
74660442156
oct1376655224
9460228428
10201022100
11a3520974
12573a4298
13328545b6
141c9aaad6
15129ac185
hexbfb5a94

201022100 has 18 divisors (see below), whose sum is σ = 436218174. Its totient is φ = 80408800.

The previous prime is 201022079. The next prime is 201022103. The reversal of 201022100 is 1220102.

It can be written as a sum of positive squares in 3 ways, for example, as 1817104 + 199204996 = 1348^2 + 14114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1005011 + ... + 1005210.

It is an arithmetic number, because the mean of its divisors is an integer number (24234343).

Almost surely, 2201022100 is an apocalyptic number.

201022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022100 is an abundant number, since it is smaller than the sum of its proper divisors (235196074).

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

201022100 is a wasteful number, since it uses less digits than its factorization.

201022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010235 (or 2010228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 201022100 is about 14178.2262642405. The cubic root of 201022100 is about 585.7980682393.

Adding to 201022100 its reverse (1220102), we get a palindrome (202242202).

The spelling of 201022100 in words is "two hundred one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2010221 4020442 8040884 10051105 20102210 40204420 50255525 100511050 201022100