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203042112 = 26371311621
BaseRepresentation
bin11000001101000…
…10110101000000
3112011001121102020
430012202311000
5403434321422
632051521440
75013554340
oct1406426500
9464047366
10203042112
11a46805a9
1257bb9280
13330b0b80
141cd74d20
1512c5a95c
hexc1a2d40

203042112 has 112 divisors (see below), whose sum is σ = 661245312. Its totient is φ = 53544960.

The previous prime is 203042071. The next prime is 203042117. The reversal of 203042112 is 211240302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 203042091 and 203042100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203042117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11662 + ... + 23282.

It is an arithmetic number, because the mean of its divisors is an integer number (5903976).

Almost surely, 2203042112 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 203042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330622656).

203042112 is an abundant number, since it is smaller than the sum of its proper divisors (458203200).

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

203042112 is a wasteful number, since it uses less digits than its factorization.

203042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 203042112 is about 14249.2846136218. The cubic root of 203042112 is about 587.7537031319.

Adding to 203042112 its reverse (211240302), we get a palindrome (414282414).

The spelling of 203042112 in words is "two hundred three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 11621 17472 23242 34863 46484 69726 81347 92968 139452 151073 162694 185936 244041 278904 302146 325388 371872 453219 488082 557808 604292 650776 743744 906438 976164 1057511 1115616 1208584 1301552 1812876 1952328 2115022 2231232 2417168 2603104 3172533 3625752 3904656 4230044 4834336 5206208 6345066 7251504 7809312 8460088 9668672 12690132 14503008 15618624 16920176 25380264 29006016 33840352 50760528 67680704 101521056 203042112