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203006124 = 223237152407
BaseRepresentation
bin11000001100110…
…10000010101100
3112010222210001100
430012122002230
5403432143444
632051043100
75013344406
oct1406320254
9463883040
10203006124
11a4656562
1257ba0490
133309a689
141cd65b76
1512c4ee69
hexc19a0ac

203006124 has 36 divisors (see below), whose sum is σ = 527026864. Its totient is φ = 65839392.

The previous prime is 203006123. The next prime is 203006137. The reversal of 203006124 is 421600302.

It is a happy number.

203006124 is a `hidden beast` number, since 20 + 30 + 0 + 612 + 4 = 666.

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

It is a super-2 number, since 2×2030061242 = 82422972763006752, which contains 22 as substring.

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 = 203006097 and 203006106.

It is not an unprimeable number, because it can be changed into a prime (203006123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74872 + ... + 77535.

Almost surely, 2203006124 is an apocalyptic number.

It is an amenable number.

203006124 is an abundant number, since it is smaller than the sum of its proper divisors (324020740).

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

203006124 is a wasteful number, since it uses less digits than its factorization.

203006124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152454 (or 152449 counting only the distinct ones).

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

The square root of 203006124 is about 14248.0217574230. The cubic root of 203006124 is about 587.7189758039.

Adding to 203006124 its reverse (421600302), we get a palindrome (624606426).

The spelling of 203006124 in words is "two hundred three million, six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 152407 304814 457221 609628 914442 1371663 1828884 2743326 5486652 5639059 11278118 16917177 22556236 33834354 50751531 67668708 101503062 203006124