Search a number
-
+
10040102102403 = 32411071399072017
BaseRepresentation
bin1001001000011010010010…
…1110000010010110000011
31022112211020222102010111100
42102012210232002112003
52303444112114234103
633204205332145443
72054242042524612
oct222064456022603
938484228363440
1010040102102403
113220a8a98a10a
121161a09a68283
1357aa154094b9
14269d2d0b7879
151262758975a3
hex921a4b82583

10040102102403 has 96 divisors (see below), whose sum is σ = 15126952538880. Its totient is φ = 6412316037120.

The previous prime is 10040102102363. The next prime is 10040102102431. The reversal of 10040102102403 is 30420120104001.

10040102102403 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 10 + 210 + 2 + 403 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10040102102403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10040102102453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4977739251 + ... + 4977741267.

It is an arithmetic number, because the mean of its divisors is an integer number (157572422280).

Almost surely, 210040102102403 is an apocalyptic number.

10040102102403 is a deficient number, since it is larger than the sum of its proper divisors (5086850436477).

10040102102403 is a wasteful number, since it uses less digits than its factorization.

10040102102403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10040102102403 its reverse (30420120104001), we get a palindrome (40460222206404).

The spelling of 10040102102403 in words is "ten trillion, forty billion, one hundred two million, one hundred two thousand, four hundred three".

Divisors: 1 3 9 41 107 123 139 321 369 417 907 963 1251 2017 2721 4387 5699 6051 8163 13161 14873 17097 18153 37187 39483 44619 51291 82697 97049 111561 126073 133857 215819 248091 280363 291147 334683 378219 609793 647457 744273 841089 873441 1134657 1829379 1829419 1942371 2523267 3979009 5168993 5488137 5488257 8848579 11494883 11937027 13489811 15506979 16464771 26545737 29998841 34484649 35811081 40469433 46520937 75006179 79637211 89996523 103453947 121408299 195747833 225018537 254289241 269989569 553082251 587243499 675055611 762867723 1229952481 1659246753 1761730497 2288603169 3689857443 4977740259 8025661153 10425858881 11069572329 24076983459 27208948787 31277576643 72230950377 81626846361 93832729929 244880539083 1115566900267 3346700700801 10040102102403