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210788021106 = 2321319139933889
BaseRepresentation
bin1100010001001111110…
…0011111001101110010
3202011002011211221100200
43010103330133031302
511423143213133411
6240500142500030
721141344421405
oct3042374371562
9664064757320
10210788021106
1181438385123
1234a28594616
1316b53357010
14a2b8b71d3c
15573a5dee56
hex3113f1f372

210788021106 has 96 divisors (see below), whose sum is σ = 518110320000. Its totient is φ = 61398549504.

The previous prime is 210788021083. The next prime is 210788021107. The reversal of 210788021106 is 601120887012.

It is not an unprimeable number, because it can be changed into a prime (210788021107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6203010 + ... + 6236898.

It is an arithmetic number, because the mean of its divisors is an integer number (5396982500).

Almost surely, 2210788021106 is an apocalyptic number.

210788021106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210788021106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259055160000).

210788021106 is an abundant number, since it is smaller than the sum of its proper divisors (307322298894).

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

210788021106 is a wasteful number, since it uses less digits than its factorization.

210788021106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35328 (or 35325 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 210788021106 in words is "two hundred ten billion, seven hundred eighty-eight million, twenty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1399 1482 2223 2798 4197 4446 8394 12591 18187 25182 26581 33889 36374 53162 54561 67778 79743 101667 109122 159486 163683 203334 239229 305001 327366 345553 440557 478458 610002 643891 691106 881114 1036659 1287782 1321671 1931673 2073318 2643342 3109977 3863346 3965013 5795019 6219954 7930026 8370583 11590038 16741166 25111749 47410711 50223498 75335247 94821422 142232133 150670494 284464266 426696399 616339243 853392798 900803509 1232678486 1801607018 1849017729 2702410527 3698035458 5404821054 5547053187 8107231581 11094106374 11710445617 16214463162 23420891234 35131336851 70262673702 105394010553 210788021106