Search a number
-
+
4113102434221 = 1121718111047313
BaseRepresentation
bin111011110110101000000…
…000100110111110101101
3112120012122011212122222101
4323312220000212332231
51014342113210343341
612425311055415101
7603106340560234
oct73665000467655
915505564778871
104113102434221
1113463a2106500
12565191824491
1323ab2cc93621
1410310a591b1b
1571ed062c831
hex3bda8026fad

4113102434221 has 24 divisors (see below), whose sum is σ = 4813403088312. Its totient is φ = 3499788441600.

The previous prime is 4113102434171. The next prime is 4113102434261. The reversal of 4113102434221 is 1224342013114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17639558596 + 4095462875625 = 132814^2 + 2023725^2 .

It is not a de Polignac number, because 4113102434221 - 231 = 4110954950573 is a prime.

It is a super-2 number, since 2×41131024342212 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4113102434221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113102434261) 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 23 ways as a sum of consecutive naturals, for example, 5151340 + ... + 5895973.

It is an arithmetic number, because the mean of its divisors is an integer number (200558462013).

Almost surely, 24113102434221 is an apocalyptic number.

It is an amenable number.

4113102434221 is a deficient number, since it is larger than the sum of its proper divisors (700300654091).

4113102434221 is a wasteful number, since it uses less digits than its factorization.

4113102434221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047533 (or 11047522 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4113102434221 its reverse (1224342013114), we get a palindrome (5337444447335).

The spelling of 4113102434221 in words is "four trillion, one hundred thirteen billion, one hundred two million, four hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 11 17 121 181 187 1991 2057 3077 21901 33847 372317 11047313 121520443 187804321 1336724873 1999563653 2065847531 21995200183 22724322841 33992582101 241947202013 373918403111 4113102434221