Search a number
-
+
110201114324301 = 37211139295643089
BaseRepresentation
bin11001000011101000110010…
…010001011110110101001101
3112110012010100010122000011220
4121003220302101132311031
5103421013340231334201
61030213405405433553
732132524226206500
oct3103506221366515
9473163303560156
10110201114324301
113212803710a770
121043986a26b8b9
134964bc7418210
141d2da9600d137
15cb18b58ec036
hex643a3245ed4d

110201114324301 has 96 divisors (see below), whose sum is σ = 201022215004800. Its totient is φ = 52786799493120.

The previous prime is 110201114324297. The next prime is 110201114324317. The reversal of 110201114324301 is 103423411102011.

It is not a de Polignac number, because 110201114324301 - 22 = 110201114324297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201114324501) 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, 16706965 + ... + 22350053.

It is an arithmetic number, because the mean of its divisors is an integer number (2093981406300).

Almost surely, 2110201114324301 is an apocalyptic number.

110201114324301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110201114324301 is a deficient number, since it is larger than the sum of its proper divisors (90821100680499).

110201114324301 is a wasteful number, since it uses less digits than its factorization.

110201114324301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644059 (or 5644052 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 110201114324301 its reverse (103423411102011), we get a palindrome (213624525426312).

The spelling of 110201114324301 in words is "one hundred ten trillion, two hundred one billion, one hundred fourteen million, three hundred twenty-four thousand, three hundred one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 929 1001 1617 1911 2787 3003 6503 7007 10219 12077 19509 21021 30657 36231 45521 71533 84539 132847 136563 214599 253617 398541 500731 591773 929929 1502193 1775319 2789787 5643089 6509503 16929267 19528509 39501623 62073979 73360157 118504869 186221937 220080471 276511361 434517853 513521099 806961727 829534083 1303553559 1540563297 2420885181 3041624971 3594647693 5242429681 5648732089 9124874913 10783943079 15727289043 16946196267 36697007767 39541124623 57666726491 68151585853 110091023301 118623373869 173000179473 204454757559 256879054369 403667085437 477061100971 749667444383 770637163107 1211001256311 1431183302913 2249002333149 2825669598059 3339427706797 5247672110681 8477008794177 10018283120391 15743016332043 36733704774767 110201114324301