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201331340 = 225717292917
BaseRepresentation
bin11000000000000…
…01001010001100
3112000211200200022
430000001022030
5403020100330
631551121312
74663200560
oct1400011214
9460750608
10201331340
11a3712241
1257513238
1332932292
141ca4b6a0
1512a1dae5
hexc00128c

201331340 has 96 divisors (see below), whose sum is σ = 529441920. Its totient is φ = 62705664.

The previous prime is 201331337. The next prime is 201331343. The reversal of 201331340 is 43133102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201331337) and next prime (201331343).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (201331343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67562 + ... + 70478.

It is an arithmetic number, because the mean of its divisors is an integer number (5515020).

Almost surely, 2201331340 is an apocalyptic number.

201331340 is a gapful number since it is divisible by the number (20) 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 201331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264720960).

201331340 is an abundant number, since it is smaller than the sum of its proper divisors (328110580).

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

201331340 is a wasteful number, since it uses less digits than its factorization.

201331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 201331340 is about 14189.1275277939. The cubic root of 201331340 is about 586.0982995452.

Adding to 201331340 its reverse (43133102), we get a palindrome (244464442).

The spelling of 201331340 in words is "two hundred one million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 29 34 35 58 68 70 85 116 119 140 145 170 203 238 290 340 406 476 493 580 595 812 986 1015 1190 1972 2030 2380 2465 2917 3451 4060 4930 5834 6902 9860 11668 13804 14585 17255 20419 29170 34510 40838 49589 58340 69020 81676 84593 99178 102095 169186 198356 204190 247945 338372 347123 408380 422965 495890 592151 694246 845930 991780 1184302 1388492 1438081 1691860 1735615 2368604 2876162 2960755 3471230 5752324 5921510 6942460 7190405 10066567 11843020 14380810 20133134 28761620 40266268 50332835 100665670 201331340