Search a number
-
+
2020101001002 = 2327411675923333
BaseRepresentation
bin11101011001010111011…
…001110000111100101010
321011010020022102111112200
4131121113121300330222
5231044131324013002
64144004355121030
7265642662123360
oct35312731607452
97133208374480
102020101001002
117097a1395407
122876138a3176
13118657b432c6
146dab8347630
1537832a49b1c
hex1d657670f2a

2020101001002 has 96 divisors (see below), whose sum is σ = 5124684015360. Its totient is φ = 563036624640.

The previous prime is 2020101001001. The next prime is 2020101001057. The reversal of 2020101001002 is 2001001010202.

It is a super-3 number, since 3×20201010010023 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2020101001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86565328 + ... + 86588660.

It is an arithmetic number, because the mean of its divisors is an integer number (53382125160).

Almost surely, 22020101001002 is an apocalyptic number.

2020101001002 is an abundant number, since it is smaller than the sum of its proper divisors (3104583014358).

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

2020101001002 is a wasteful number, since it uses less digits than its factorization.

2020101001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40148 (or 40145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2020101001002 its reverse (2001001010202), we get a palindrome (4021102011204).

The spelling of 2020101001002 in words is "two trillion, twenty billion, one hundred one million, one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 16759 23333 33518 46666 50277 69999 100554 117313 139998 150831 163331 209997 234626 301662 326662 351939 419994 489993 687119 703878 956653 979986 1055817 1374238 1469979 1913306 2061357 2111634 2869959 2939958 4122714 4809833 5739918 6184071 6696571 8609877 9619666 12368142 13393142 14429499 17219754 20089713 28858998 40179426 43288497 60269139 86576994 120538278 391037747 782075494 1173113241 2346226482 2737264229 3519339723 5474528458 7038679446 8211792687 16032547627 16423585374 24635378061 32065095254 48097642881 49270756122 96195285762 112227833389 144292928643 224455666778 288585857286 336683500167 673367000334 1010050500501 2020101001002