Search a number
-
+
4112334111201 = 33121638750969
BaseRepresentation
bin111011110101111010001…
…101101100000111100001
3112120010122122010210221020
4323311322031230013201
51014334030013024301
612425102531520053
7603051321125361
oct73657215540741
915503578123836
104112334111201
111346038440aa8
12564bb8459029
1323aa39a51b14
141030765109a1
1571e87e61436
hex3bd7a36c1e1

4112334111201 has 24 divisors (see below), whose sum is σ = 5700451865760. Its totient is φ = 2636841677760.

The previous prime is 4112334111191. The next prime is 4112334111211. The reversal of 4112334111201 is 1021114332114.

It is an interprime number because it is at equal distance from previous prime (4112334111191) and next prime (4112334111211).

It is a de Polignac number, because none of the positive numbers 2k-4112334111201 is a prime.

It is a super-2 number, since 2×41123341112012 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4112334111211) 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, 3905556 + ... + 4845413.

It is an arithmetic number, because the mean of its divisors is an integer number (237518827740).

Almost surely, 24112334111201 is an apocalyptic number.

It is an amenable number.

4112334111201 is a deficient number, since it is larger than the sum of its proper divisors (1588117754559).

4112334111201 is a wasteful number, since it uses less digits than its factorization.

4112334111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751197 (or 8751166 counting only the distinct ones).

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

Adding to 4112334111201 its reverse (1021114332114), we get a palindrome (5133448443315).

The spelling of 4112334111201 in words is "four trillion, one hundred twelve billion, three hundred thirty-four million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 31 93 163 489 961 2883 5053 15159 156643 469929 8750969 26252907 271280039 813840117 1426407947 4279223841 8409681209 25229043627 44218646357 132655939071 1370778037067 4112334111201