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201103540 = 225111723163
BaseRepresentation
bin10111111110010…
…01100010110100
3112000102010012021
423333021202310
5402440303130
631542202524
74661231461
oct1377114264
9460363167
10201103540
11a3577080
1257423444
13328826a1
141c9cc668
15129c637a
hexbfc98b4

201103540 has 72 divisors (see below), whose sum is σ = 489559392. Its totient is φ = 68805120.

The previous prime is 201103537. The next prime is 201103549. The reversal of 201103540 is 45301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201103549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61999 + ... + 65161.

It is an arithmetic number, because the mean of its divisors is an integer number (6799436).

Almost surely, 2201103540 is an apocalyptic number.

201103540 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 201103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244779696).

201103540 is an abundant number, since it is smaller than the sum of its proper divisors (288455852).

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

201103540 is a wasteful number, since it uses less digits than its factorization.

201103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 201103540 is about 14181.0979828785. The cubic root of 201103540 is about 585.8771656015.

Adding to 201103540 its reverse (45301102), we get a palindrome (246404642).

The spelling of 201103540 in words is "two hundred one million, one hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3163 3179 3740 5780 6326 6358 12652 12716 15815 15895 31630 31790 34793 53771 63260 63580 69586 107542 139172 173965 215084 268855 347930 537710 591481 695860 914107 1075420 1182962 1828214 2365924 2957405 3656428 4570535 5914810 9141070 10055177 11829620 18282140 20110354 40220708 50275885 100551770 201103540