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203124042 = 232117114449
BaseRepresentation
bin11000001101101…
…10110101001010
3112011012202210200
430012312311022
5403444432132
632053353030
75014345242
oct1406666512
9464182720
10203124042
11a4727110
1258038776
133310c254
141cd96b22
1512c74d7c
hexc1b6d4a

203124042 has 48 divisors (see below), whose sum is σ = 486907200. Its totient is φ = 60681600.

The previous prime is 203124013. The next prime is 203124071. The reversal of 203124042 is 240421302.

203124042 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203124013) and next prime (203124071).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6834 + ... + 21282.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2203124042 is an apocalyptic number.

203124042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243453600).

203124042 is an abundant number, since it is smaller than the sum of its proper divisors (283783158).

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

203124042 is a wasteful number, since it uses less digits than its factorization.

203124042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14539 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203124042 is about 14252.1592048363. The cubic root of 203124042 is about 587.8327477939.

Adding to 203124042 its reverse (240421302), we get a palindrome (443545344).

The spelling of 203124042 in words is "two hundred three million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 14058 14449 28898 43347 86694 130041 158939 260082 317878 476817 953634 1025879 1430451 2051758 2860902 3077637 6155274 9232911 11284669 18465822 22569338 33854007 67708014 101562021 203124042