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431011114140201 = 37731793413460211
BaseRepresentation
bin110001000000000001001100…
…0010110100100001000101001
32002112002021000121121010021020
41202000002120112210020221
5422443141230204441301
64124403434455203053
7156533345130610650
oct14200023026441051
92075067017533236
10431011114140201
1111537387254a681
1240410a12076489
1315666234704b4a
147861099140197
1534c68c5257436
hex18800985a4229

431011114140201 has 64 divisors (see below), whose sum is σ = 669692844472320. Its totient is φ = 241489814883840.

The previous prime is 431011114140179. The next prime is 431011114140241. The reversal of 431011114140201 is 102041411110134.

It is a happy number.

It is not a de Polignac number, because 431011114140201 - 25 = 431011114140169 is a prime.

It is a super-3 number, since 3×4310111141402013 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (431011114140241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936320986 + ... + 936781196.

It is an arithmetic number, because the mean of its divisors is an integer number (10463950694880).

Almost surely, 2431011114140201 is an apocalyptic number.

It is an amenable number.

431011114140201 is a deficient number, since it is larger than the sum of its proper divisors (238681730332119).

431011114140201 is a wasteful number, since it uses less digits than its factorization.

431011114140201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463886.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 431011114140201 its reverse (102041411110134), we get a palindrome (533052525250335).

The spelling of 431011114140201 in words is "four hundred thirty-one trillion, eleven billion, one hundred fourteen million, one hundred forty thousand, two hundred one".

Divisors: 1 3 7 21 73 179 219 511 537 1253 1533 3413 3759 10239 13067 23891 39201 71673 91469 249149 274407 460211 610927 747447 1380633 1744043 1832781 3221477 4276489 5232129 9664431 12829467 33595403 44597671 82377769 100786209 133793013 235167821 247133307 312183697 576644383 705503463 936551091 1570700143 1729933149 4712100429 6013577137 10994901001 18040731411 32984703003 42095039959 114661110439 126285119877 281155325597 343983331317 802627773073 843465976791 1968087279179 2407883319219 5904261837537 20524338768581 61573016305743 143670371380067 431011114140201