Search a number
-
+
13114101121 = 112177398627
BaseRepresentation
bin11000011011010100…
…10100110110000001
31020211221111100202221
430031222110312001
5203324202213441
610005144411041
7642660006652
oct141552246601
936757440687
1013114101121
11561a628300
12265ba76a81
13130cc11964
148c598b529
1551b48e8d1
hex30da94d81

13114101121 has 24 divisors (see below), whose sum is σ = 15285019680. Its totient is φ = 11204138880.

The previous prime is 13114101101. The next prime is 13114101127. The reversal of 13114101121 is 12110141131.

It is not a de Polignac number, because 13114101121 - 211 = 13114099073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13114101095 and 13114101104.

It is not an unprimeable number, because it can be changed into a prime (13114101127) 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, 1515810 + ... + 1524436.

It is an arithmetic number, because the mean of its divisors is an integer number (636875820).

Almost surely, 213114101121 is an apocalyptic number.

13114101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13114101121 is a deficient number, since it is larger than the sum of its proper divisors (2170918559).

13114101121 is a wasteful number, since it uses less digits than its factorization.

13114101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13114101121 its reverse (12110141131), we get a palindrome (25224242252).

The spelling of 13114101121 in words is "thirteen billion, one hundred fourteen million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 11 17 121 187 739 2057 8129 8627 12563 89419 94897 138193 146659 1043867 1520123 1613249 6375353 17745739 70128883 108381001 771417713 1192191011 13114101121