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204031431 = 32374314249
BaseRepresentation
bin11000010100101…
…00010111000111
3112012220212111200
430022110113013
5404213001211
632125033543
75025144552
oct1412242707
9465825450
10204031431
11a519691a
12583b58b3
1333369276
141d151699
1512da3b56
hexc2945c7

204031431 has 24 divisors (see below), whose sum is σ = 309738000. Its totient is φ = 129257856.

The previous prime is 204031409. The next prime is 204031439. The reversal of 204031431 is 134130402.

204031431 is a `hidden beast` number, since 204 + 0 + 31 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2k-204031431 is a prime.

It is a super-2 number, since 2×2040314312 = 83257649671815522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204031439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7195 + ... + 21443.

It is an arithmetic number, because the mean of its divisors is an integer number (12905750).

Almost surely, 2204031431 is an apocalyptic number.

204031431 is a deficient number, since it is larger than the sum of its proper divisors (105706569).

204031431 is a wasteful number, since it uses less digits than its factorization.

204031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14335 (or 14332 counting only the distinct ones).

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

The square root of 204031431 is about 14283.9571197900. The cubic root of 204031431 is about 588.7067632927.

Adding to 204031431 its reverse (134130402), we get a palindrome (338161833).

The spelling of 204031431 in words is "two hundred four million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 37 43 111 129 333 387 1591 4773 14249 14319 42747 128241 527213 612707 1581639 1838121 4744917 5514363 22670159 68010477 204031431