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203040112 = 24111779859
BaseRepresentation
bin11000001101000…
…10010101110000
3112011001111200011
430012202111300
5403434240422
632051504304
75013545452
oct1406422560
9464044604
10203040112
11a467a050
1257bb8094
13330acca2
141cd742d2
1512c5a077
hexc1a2570

203040112 has 80 divisors (see below), whose sum is σ = 460684800. Its totient is φ = 85662720.

The previous prime is 203040091. The next prime is 203040121. The reversal of 203040112 is 211040302.

It is a junction number, because it is equal to n+sod(n) for n = 203040092 and 203040101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235939 + ... + 236797.

It is an arithmetic number, because the mean of its divisors is an integer number (5758560).

Almost surely, 2203040112 is an apocalyptic number.

203040112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230342400).

203040112 is an abundant number, since it is smaller than the sum of its proper divisors (257644688).

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

203040112 is a wasteful number, since it uses less digits than its factorization.

203040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 203040112 is about 14249.2144344873. The cubic root of 203040112 is about 587.7517733003.

Adding to 203040112 its reverse (211040302), we get a palindrome (414080414).

The spelling of 203040112 in words is "two hundred three million, forty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 79 88 136 158 176 187 272 316 374 632 748 859 869 1264 1343 1496 1718 1738 2686 2992 3436 3476 5372 6872 6952 9449 10744 13744 13904 14603 14773 18898 21488 29206 29546 37796 58412 59092 67861 75592 116824 118184 135722 151184 160633 233648 236368 271444 321266 542888 642532 746471 1085776 1153637 1285064 1492942 2307274 2570128 2985884 4614548 5971768 9229096 11943536 12690007 18458192 25380014 50760028 101520056 203040112