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10218035982 = 2371123241809
BaseRepresentation
bin10011000010000101…
…01101101100001110
3222101010001000021010
421201002231230032
5131411304122412
64405531550050
7511132605240
oct114102555416
928333030233
1010218035982
1143738a6740
121b91bbb326
13c6ac1ac4b
146cd0bc090
153ec0cb33c
hex2610adb0e

10218035982 has 96 divisors (see below), whose sum is σ = 26635311360. Its totient is φ = 2538581760.

The previous prime is 10218035981. The next prime is 10218035983. The reversal of 10218035982 is 28953081201.

It is an interprime number because it is at equal distance from previous prime (10218035981) and next prime (10218035983).

It is a self number, because there is not a number n which added to its sum of digits gives 10218035982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218035981) 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, 223494 + ... + 265302.

It is an arithmetic number, because the mean of its divisors is an integer number (277451160).

Almost surely, 210218035982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218035982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317655680).

10218035982 is an abundant number, since it is smaller than the sum of its proper divisors (16417275378).

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

10218035982 is a wasteful number, since it uses less digits than its factorization.

10218035982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41878 (or 41855 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 10218035982 in words is "ten billion, two hundred eighteen million, thirty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 529 759 966 1058 1518 1587 1771 3174 3542 3703 5313 5819 7406 10626 11109 11638 17457 22218 34914 40733 41809 81466 83618 122199 125427 244398 250854 292663 459899 585326 877989 919798 961607 1379697 1755978 1923214 2759394 2884821 3219293 5769642 6438586 6731249 9657879 10577677 13462498 19315758 20193747 21155354 22116961 31733031 40387494 44233922 63466062 66350883 74043739 132701766 148087478 154818727 222131217 243286571 309637454 444262434 464456181 486573142 729859713 928912362 1459719426 1703005997 3406011994 5109017991 10218035982