Search a number
-
+
13033201213011 = 371731268355621
BaseRepresentation
bin1011110110101000011101…
…0101000001111001010011
31201010221222012102220100110
42331222013111001321103
53202013444002304021
643415211525452403
72513421606301650
oct275520725017123
951127865386313
1013033201213011
114175393345511
121565b08871103
137370443251a5
14330b4b692c27
1517905434d476
hexbda87541e53

13033201213011 has 96 divisors (see below), whose sum is σ = 21760778801664. Its totient is φ = 6773287910400.

The previous prime is 13033201212929. The next prime is 13033201213031. The reversal of 13033201213011 is 11031210233031.

It is a happy number.

It is not a de Polignac number, because 13033201213011 - 225 = 13033167658579 is a prime.

It is a super-2 number, since 2×130332012130112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13033201213031) 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 95 ways as a sum of consecutive naturals, for example, 234293781 + ... + 234349401.

It is an arithmetic number, because the mean of its divisors is an integer number (226674779184).

Almost surely, 213033201213011 is an apocalyptic number.

13033201213011 is a deficient number, since it is larger than the sum of its proper divisors (8727577588653).

13033201213011 is a wasteful number, since it uses less digits than its factorization.

13033201213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56393 (or 56362 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13033201213011 its reverse (11031210233031), we get a palindrome (24064411446042).

The spelling of 13033201213011 in words is "thirteen trillion, thirty-three billion, two hundred one million, two hundred thirteen thousand, eleven".

Divisors: 1 3 7 17 21 31 51 93 119 217 357 527 651 683 961 1581 2049 2883 3689 4781 6727 11067 11611 14343 16337 20181 21173 34833 49011 55621 63519 81277 114359 148211 166863 243831 343077 359941 389347 444633 656363 945557 1079823 1168041 1724251 1969089 2519587 2836671 4594541 5172753 6618899 7558761 11158171 12069757 13783623 19856697 29312267 33474513 36209271 37989143 53451781 78107197 87936801 113967429 160355343 205185869 234321591 265924001 374162467 615557607 645815431 797772003 908680277 1122487401 1177663433 1937446293 2726040831 3532990299 4520708017 6360761939 8243644031 13562124051 19082285817 20020278361 24730932093 36507566423 60060835083 109522699269 140141948527 255552964961 420425845581 620628629191 766658894883 1861885887573 4344400404337 13033201213011