Search a number
-
+
10010219982 = 237312376703
BaseRepresentation
bin10010101001010011…
…11101010111001110
3221211121222212022020
421110221331113032
5131000104014412
64333145431010
7503030315550
oct112451752716
927747885266
1010010219982
114277565484
121b3449b466
13c36b581b9
146ad6634d0
153d8c2b18c
hex254a7d5ce

10010219982 has 96 divisors (see below), whose sum is σ = 24284998656. Its totient is φ = 2692595520.

The previous prime is 10010219981. The next prime is 10010220049. The reversal of 10010219982 is 28991201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010219981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1490043 + ... + 1496745.

It is an arithmetic number, because the mean of its divisors is an integer number (252968736).

Almost surely, 210010219982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010219982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142499328).

10010219982 is an abundant number, since it is smaller than the sum of its proper divisors (14274778674).

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

10010219982 is a wasteful number, since it uses less digits than its factorization.

10010219982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 10010219982 in words is "ten billion, ten million, two hundred nineteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 259 434 518 651 777 961 1147 1302 1554 1922 2294 2883 3441 5766 6703 6727 6882 8029 13406 13454 16058 20109 20181 24087 35557 40218 40362 46921 48174 71114 93842 106671 140763 207793 213342 248011 248899 281526 415586 496022 497798 623379 744033 746697 1246758 1454551 1488066 1493394 1736077 2909102 3472154 4363653 5208231 6441583 7688341 8727306 10416462 12883166 15376682 19324749 23065023 38649498 45091081 46130046 53818387 90182162 107636774 135273243 161455161 238338571 270546486 322910322 476677142 715015713 1430031426 1668369997 3336739994 5005109991 10010219982