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201443112 = 2336132657
BaseRepresentation
bin11000000000111…
…00011100101000
3112001001101000000
430000130130220
5403032134422
631553343000
74664144463
oct1400343450
9461041000
10201443112
11a3789212
1257567a60
1332971110
141ca7a2da
1512a41cac
hexc01c728

201443112 has 112 divisors (see below), whose sum is σ = 610090740. Its totient is φ = 61959168.

The previous prime is 201443093. The next prime is 201443113. The reversal of 201443112 is 211344102.

It can be written as a sum of positive squares in 2 ways, for example, as 198640836 + 2802276 = 14094^2 + 1674^2 .

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 (201443113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 74488 + ... + 77144.

Almost surely, 2201443112 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 201443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305045370).

201443112 is an abundant number, since it is smaller than the sum of its proper divisors (408647628).

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

201443112 is a wasteful number, since it uses less digits than its factorization.

201443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2675 counting only the distinct ones).

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

The square root of 201443112 is about 14193.0656307931. The cubic root of 201443112 is about 586.2067397911.

Adding to 201443112 its reverse (211344102), we get a palindrome (412787214).

The spelling of 201443112 in words is "two hundred one million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2657 2808 2916 3159 4212 5314 5832 6318 7971 8424 9477 10628 12636 15942 18954 21256 23913 25272 31884 34541 37908 47826 63768 69082 71739 75816 95652 103623 138164 143478 191304 207246 215217 276328 286956 310869 414492 430434 573912 621738 645651 828984 860868 932607 1243476 1291302 1721736 1865214 1936953 2486952 2582604 2797821 3730428 3873906 5165208 5595642 7460856 7747812 8393463 11191284 15495624 16786926 22382568 25180389 33573852 50360778 67147704 100721556 201443112