Search a number
-
+
110412363214011 = 337109167181301907
BaseRepresentation
bin11001000110101101100001…
…101100000010110010111011
3112110221022121102200111102010
4121012231201230002302323
5103432444004440322021
61030454423414341003
732154013201145355
oct3106554154026273
9473838542614363
10110412363214011
11321a9690654231
12104727a505a763
13497bac20a5c41
141d39db606c0d5
15cb712b6c5976
hex646b61b02cbb

110412363214011 has 64 divisors (see below), whose sum is σ = 154344644213760. Its totient is φ = 70146917153280.

The previous prime is 110412363214007. The next prime is 110412363214019.

It is a happy number.

110412363214011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110412363214011 - 22 = 110412363214007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110412363214011.

It is not an unprimeable number, because it can be changed into a prime (110412363214019) 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 63 ways as a sum of consecutive naturals, for example, 365565520 + ... + 365867426.

It is an arithmetic number, because the mean of its divisors is an integer number (2411635065840).

Almost surely, 2110412363214011 is an apocalyptic number.

110412363214011 is a deficient number, since it is larger than the sum of its proper divisors (43932280999749).

110412363214011 is a wasteful number, since it uses less digits than its factorization.

110412363214011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302404.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 110412363214011 in words is "one hundred ten trillion, four hundred twelve billion, three hundred sixty-three million, two hundred fourteen thousand, eleven".

Divisors: 1 3 37 109 111 167 181 327 501 543 4033 6179 6697 12099 18203 18537 19729 20091 30227 54609 59187 90681 301907 673511 729973 905721 1118399 2020533 2189919 3294743 3355197 9884229 11170559 32907863 33511677 50418469 54645167 98723589 121905491 151255407 163935501 365716473 1217590931 1865483353 2021871179 3652772793 5495613121 5596450059 5956323203 6065613537 9125742889 16486839363 17868969609 27377228667 203337685477 220383958511 337652486893 610013056431 661151875533 994705974901 1012957460679 2984117924703 36804121071337 110412363214011