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201123144 = 23322793377
BaseRepresentation
bin10111111110011…
…10010101001000
3112000110010002100
423333032111020
5402441420034
631542433400
74661342565
oct1377162510
9460403070
10201123144
11a358a882
1257432860
133288b5a1
141c9d586c
15129cc099
hexbfce548

201123144 has 24 divisors (see below), whose sum is σ = 544708710. Its totient is φ = 67041024.

The previous prime is 201123137. The next prime is 201123187. The reversal of 201123144 is 441321102.

It can be written as a sum of positive squares in only one way, i.e., 192932100 + 8191044 = 13890^2 + 2862^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1396617 + ... + 1396760.

Almost surely, 2201123144 is an apocalyptic number.

201123144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201123144 is an abundant number, since it is smaller than the sum of its proper divisors (343585566).

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

201123144 is a wasteful number, since it uses less digits than its factorization.

201123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793389 (or 2793382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201123144 is about 14181.7891678025. The cubic root of 201123144 is about 585.8962024995.

Adding to 201123144 its reverse (441321102), we get a palindrome (642444246).

The spelling of 201123144 in words is "two hundred one million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2793377 5586754 8380131 11173508 16760262 22347016 25140393 33520524 50280786 67041048 100561572 201123144