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201124304 = 24371811877
BaseRepresentation
bin10111111110011…
…10100111010000
3112000110011200022
423333032213100
5402441434204
631542443012
74661346143
oct1377164720
9460404608
10201124304
11a3590737
1257433468
133288bc84
141c9d605a
15129cc5be
hexbfce9d0

201124304 has 40 divisors (see below), whose sum is σ = 402635688. Its totient is φ = 97251840.

The previous prime is 201124303. The next prime is 201124307. The reversal of 201124304 is 403421102.

It can be written as a sum of positive squares in 4 ways, for example, as 22848400 + 178275904 = 4780^2 + 13352^2 .

It is a super-3 number, since 3×2011243043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201124303) 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 7 ways as a sum of consecutive naturals, for example, 106214 + ... + 108090.

Almost surely, 2201124304 is an apocalyptic number.

It is an amenable number.

201124304 is an abundant number, since it is smaller than the sum of its proper divisors (201511384).

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

201124304 is a wasteful number, since it uses less digits than its factorization.

201124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 201124304 is about 14181.8300652631. The cubic root of 201124304 is about 585.8973289044.

Adding to 201124304 its reverse (403421102), we get a palindrome (604545406).

The spelling of 201124304 in words is "two hundred one million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 37 74 148 181 296 362 592 724 1448 1877 2896 3754 6697 7508 13394 15016 26788 30032 53576 69449 107152 138898 277796 339737 555592 679474 1111184 1358948 2717896 5435792 12570269 25140538 50281076 100562152 201124304