| Base | Representation |
|---|---|
| bin | 11000001100110… |
| … | …10000010111110 |
| 3 | 112010222210002000 |
| 4 | 30012122002332 |
| 5 | 403432144032 |
| 6 | 32051043130 |
| 7 | 5013344433 |
| oct | 1406320276 |
| 9 | 463883060 |
| 10 | 203006142 |
| 11 | a4656579 |
| 12 | 57ba04a6 |
| 13 | 3309a6a1 |
| 14 | 1cd65b8a |
| 15 | 12c4ee7c |
| hex | c19a0be |
203006142 has 64 divisors (see below), whose sum is σ = 476928000. Its totient is φ = 63876384.
The previous prime is 203006137. The next prime is 203006147. The reversal of 203006142 is 241600302.
It is a happy number.
203006142 is a `hidden beast` number, since 20 + 30 + 0 + 614 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (203006137) and next prime (203006147).
It is a super-2 number, since 2×2030061422 = 82422987379448328, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (203006147) 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 31 ways as a sum of consecutive naturals, for example, 97084 + ... + 99152.
It is an arithmetic number, because the mean of its divisors is an integer number (7452000).
Almost surely, 2203006142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 203006142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238464000).
203006142 is an abundant number, since it is smaller than the sum of its proper divisors (273921858).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203006142 is a wasteful number, since it uses less digits than its factorization.
203006142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 203006142 is about 14248.0223890897. The cubic root of 203006142 is about 587.7189931744.
Adding to 203006142 its reverse (241600302), we get a palindrome (444606444).
The spelling of 203006142 in words is "two hundred three million, six thousand, one hundred forty-two".
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