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203441112 = 23337197683
BaseRepresentation
bin11000010000001…
…00001111011000
3112011210212202000
430020010033120
5404040103422
632104241000
75020135530
oct1410041730
9464725660
10203441112
11a4923356
1258170160
13331c0674
141d03a4c0
1512cd8cac
hexc2043d8

203441112 has 128 divisors (see below), whose sum is σ = 650073600. Its totient is φ = 57746304.

The previous prime is 203441111. The next prime is 203441123. The reversal of 203441112 is 211144302.

203441112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (203441111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297523 + ... + 298205.

It is an arithmetic number, because the mean of its divisors is an integer number (5078700).

Almost surely, 2203441112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325036800).

203441112 is an abundant number, since it is smaller than the sum of its proper divisors (446632488).

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

203441112 is a wasteful number, since it uses less digits than its factorization.

203441112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 203441112 is about 14263.2784450140. The cubic root of 203441112 is about 588.1384513625.

Adding to 203441112 its reverse (211144302), we get a palindrome (414585414).

The spelling of 203441112 in words is "two hundred three million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 197 216 252 378 394 504 591 683 756 788 1182 1366 1379 1512 1576 1773 2049 2364 2732 2758 3546 4098 4137 4728 4781 5319 5464 5516 6147 7092 8196 8274 9562 10638 11032 12294 12411 14184 14343 16392 16548 18441 19124 21276 24588 24822 28686 33096 36882 37233 38248 42552 43029 49176 49644 57372 73764 74466 86058 99288 114744 129087 134551 147528 148932 172116 258174 269102 297864 344232 403653 516348 538204 807306 941857 1032696 1076408 1210959 1614612 1883714 2421918 2825571 3229224 3632877 3767428 4843836 5651142 7265754 7534856 8476713 9687672 11302284 14531508 16953426 22604568 25430139 29063016 33906852 50860278 67813704 101720556 203441112