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210131082 = 232723312339
BaseRepresentation
bin11001000011001…
…01100010001010
3112122101202122200
430201211202022
5412243143312
632503501030
75131041030
oct1441454212
9478352580
10210131082
11a8682657
125a457776
13346c3725
141dc9c550
15136ab0dc
hexc86588a

210131082 has 96 divisors (see below), whose sum is σ = 560701440. Its totient is φ = 55550880.

The previous prime is 210131081. The next prime is 210131083. The reversal of 210131082 is 280131012.

It is an interprime number because it is at equal distance from previous prime (210131081) and next prime (210131083).

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 (210131081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88669 + ... + 91007.

It is an arithmetic number, because the mean of its divisors is an integer number (5840640).

Almost surely, 2210131082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210131082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280350720).

210131082 is an abundant number, since it is smaller than the sum of its proper divisors (350570358).

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

210131082 is a wasteful number, since it uses less digits than its factorization.

210131082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 210131082 is about 14495.8987993156. The cubic root of 210131082 is about 594.5158427557.

Adding to 210131082 its reverse (280131012), we get a palindrome (490262094).

The spelling of 210131082 in words is "two hundred ten million, one hundred thirty-one thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 558 651 713 966 1302 1426 1449 1953 2139 2339 2898 3906 4278 4678 4991 6417 7017 9982 12834 14034 14973 16373 21051 29946 32746 42102 44919 49119 53797 72509 89838 98238 107594 145018 147357 161391 217527 294714 322782 376579 435054 484173 507563 652581 753158 968346 1015126 1129737 1305162 1522689 1667707 2259474 3045378 3335414 3389211 4568067 5003121 6778422 9136134 10006242 11673949 15009363 23347898 30018726 35021847 70043694 105065541 210131082