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4113003114 = 2321137355691
BaseRepresentation
bin1111010100100111…
…0111001001101010
3101121122100012120200
43311021313021222
531410412044424
61520043533030
7203631643503
oct36511671152
911548305520
104113003114
111820757130
1296952a176
1350716896c
142b036bbaa
151911478c9
hexf527726a

4113003114 has 48 divisors (see below), whose sum is σ = 9747882144. Its totient is φ = 1243000800.

The previous prime is 4113003079. The next prime is 4113003119.

4113003114 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4113003119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46009 + ... + 101699.

It is an arithmetic number, because the mean of its divisors is an integer number (203080878).

Almost surely, 24113003114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113003114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873941072).

4113003114 is an abundant number, since it is smaller than the sum of its proper divisors (5634879030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4113003114 is a wasteful number, since it uses less digits than its factorization.

4113003114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56083 (or 56080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4113003114 is about 64132.6992570873. The cubic root of 4113003114 is about 1602.2108907047.

It can be divided in two parts, 411300 and 3114, that added together give a palindrome (414414).

The spelling of 4113003114 in words is "four billion, one hundred thirteen million, three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 373 746 1119 2238 3357 4103 6714 8206 12309 24618 36927 55691 73854 111382 167073 334146 501219 612601 1002438 1225202 1837803 3675606 5513409 11026818 20772743 41545486 62318229 124636458 186954687 228500173 373909374 457000346 685500519 1371001038 2056501557 4113003114