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203104242 = 2321141127197
BaseRepresentation
bin11000001101100…
…01111111110010
3112011011202122100
430012301333302
5403443313432
632053121230
75014233435
oct1406617762
9464152570
10203104242
11a4713250
1258029216
1333103233
141cd8d81c
1512c6e07c
hexc1b1ff2

203104242 has 96 divisors (see below), whose sum is σ = 498161664. Its totient is φ = 59270400.

The previous prime is 203104241. The next prime is 203104247. The reversal of 203104242 is 242401302.

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

It is not an unprimeable number, because it can be changed into a prime (203104241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030888 + ... + 1031084.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2203104242 is an apocalyptic number.

203104242 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 203104242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).

203104242 is an abundant number, since it is smaller than the sum of its proper divisors (295057422).

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

203104242 is a wasteful number, since it uses less digits than its factorization.

203104242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

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

The square root of 203104242 is about 14251.4645563184. The cubic root of 203104242 is about 587.8136470407.

Adding to 203104242 its reverse (242401302), we get a palindrome (445505544).

The spelling of 203104242 in words is "two hundred three million, one hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 127 197 198 246 254 369 381 394 451 591 738 762 902 1143 1182 1353 1397 1773 2167 2286 2706 2794 3546 4059 4191 4334 5207 6501 8077 8118 8382 10414 12573 13002 15621 16154 19503 24231 25019 25146 31242 39006 46863 48462 50038 57277 72693 75057 88847 93726 114554 145386 150114 171831 177694 225171 266541 275209 343662 450342 515493 533082 550418 799623 825627 1025779 1030986 1599246 1651254 2051558 2476881 3077337 4953762 6154674 9232011 11283569 18464022 22567138 33850707 67701414 101552121 203104242