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201233124 = 223252110729
BaseRepresentation
bin10111111111010…
…01001011100100
3112000122200221200
423333221023210
5403003424444
631545042500
74662311331
oct1377511344
9460580850
10201233124
11a3655474
1257486430
13328c9671
141ca23988
15129ee969
hexbfe92e4

201233124 has 36 divisors (see below), whose sum is σ = 509696460. Its totient is φ = 66942720.

The previous prime is 201233119. The next prime is 201233143. The reversal of 201233124 is 421332102.

It can be written as a sum of positive squares in 2 ways, for example, as 104407524 + 96825600 = 10218^2 + 9840^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 201233097 and 201233106.

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 11 ways as a sum of consecutive naturals, for example, 13392 + ... + 24120.

It is an arithmetic number, because the mean of its divisors is an integer number (14158235).

Almost surely, 2201233124 is an apocalyptic number.

It is an amenable number.

201233124 is an abundant number, since it is smaller than the sum of its proper divisors (308463336).

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

201233124 is a wasteful number, since it uses less digits than its factorization.

201233124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11260 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201233124 is about 14185.6661457966. Note that the first 3 decimals coincide. The cubic root of 201233124 is about 586.0029780821.

Adding to 201233124 its reverse (421332102), we get a palindrome (622565226).

The spelling of 201233124 in words is "two hundred one million, two hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 10729 18756 21458 32187 42916 64374 96561 128748 193122 386244 5589809 11179618 16769427 22359236 33538854 50308281 67077708 100616562 201233124