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200303112 = 233175359157
BaseRepresentation
bin10111111000001…
…10001000001000
3111221220110012210
423330012020020
5402234144422
631513105120
74651356042
oct1374061010
9457813183
10200303112
11a307a769
12570b81a0
1332662269
141c860a92
15128b910c
hexbf06208

200303112 has 128 divisors (see below), whose sum is σ = 552873600. Its totient is φ = 60223488.

The previous prime is 200303057. The next prime is 200303137. The reversal of 200303112 is 211303002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 1275738 + ... + 1275894.

It is an arithmetic number, because the mean of its divisors is an integer number (4319325).

Almost surely, 2200303112 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 200303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276436800).

200303112 is an abundant number, since it is smaller than the sum of its proper divisors (352570488).

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

200303112 is a wasteful number, since it uses less digits than its factorization.

200303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200303112 is about 14152.8481939149. The cubic root of 200303112 is about 585.0988334732.

Adding to 200303112 its reverse (211303002), we get a palindrome (411606114).

The spelling of 200303112 in words is "two hundred million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 59 68 102 106 118 136 157 159 177 204 212 236 314 318 354 408 424 471 472 628 636 708 901 942 1003 1256 1272 1416 1802 1884 2006 2669 2703 3009 3127 3604 3768 4012 5338 5406 6018 6254 7208 8007 8024 8321 9263 9381 10676 10812 12036 12508 16014 16642 18526 18762 21352 21624 24072 24963 25016 27789 32028 33284 37052 37524 49926 53159 55578 64056 66568 74104 75048 99852 106318 111156 141457 157471 159477 199704 212636 222312 282914 314942 318954 424371 425272 472413 490939 565828 629884 637908 848742 944826 981878 1131656 1259768 1275816 1472817 1697484 1889652 1963756 2945634 3394968 3779304 3927512 5891268 8345963 11782536 16691926 25037889 33383852 50075778 66767704 100151556 200303112