Search a number
-
+
13110202131 = 3139725113807
BaseRepresentation
bin11000011010110110…
…11100111100010011
31020211200011021100220
430031123130330103
5203322202432011
610004525044123
7642611610435
oct141533347423
936750137326
1013110202131
1156184049a4
12265a6b6643
13130c178070
148c5254655
1551ae6e506
hex30d6dcf13

13110202131 has 32 divisors (see below), whose sum is σ = 19096132608. Its totient is φ = 7952256000.

The previous prime is 13110202121. The next prime is 13110202151. The reversal of 13110202131 is 13120201131.

It is a happy number.

It is not a de Polignac number, because 13110202131 - 26 = 13110202067 is a prime.

It is a super-2 number, since 2×131102021312 (a number of 21 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 13110202131.

It is not an unprimeable number, because it can be changed into a prime (13110202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942630 + ... + 956436.

It is an arithmetic number, because the mean of its divisors is an integer number (596754144).

Almost surely, 213110202131 is an apocalyptic number.

13110202131 is a deficient number, since it is larger than the sum of its proper divisors (5985930477).

13110202131 is a wasteful number, since it uses less digits than its factorization.

13110202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13110202131 its reverse (13120201131), we get a palindrome (26230403262).

The spelling of 13110202131 in words is "thirteen billion, one hundred ten million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 97 251 291 753 1261 3263 3783 9789 13807 24347 41421 73041 179491 316511 538473 949533 1339279 3465557 4017837 10396671 17410627 45052241 52231881 135156723 336159029 1008477087 4370067377 13110202131