Search a number
-
+
13212111121121 = 112731495767137
BaseRepresentation
bin1100000001000010111100…
…1100001010101011100001
31201210001202201222220122102
43000100233030022223201
53212431400421333441
644033320550020145
72532354300363413
oct300205714125341
951701681886572
1013212111121121
11423425231a500
121594719347655
1374ab87177843
143396807ac9b3
1517da25ecb69b
hexc042f30aae1

13212111121121 has 12 divisors (see below), whose sum is σ = 14721340172196. Its totient is φ = 11846475717120.

The previous prime is 13212111121087. The next prime is 13212111121123. The reversal of 13212111121121 is 12112111121231.

It can be written as a sum of positive squares in 2 ways, for example, as 5619270250000 + 7592840871121 = 2370500^2 + 2755511^2 .

It is not a de Polignac number, because 13212111121121 - 210 = 13212111120097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13212111121093 and 13212111121102.

It is not an unprimeable number, because it can be changed into a prime (13212111121123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747874736 + ... + 747892401.

It is an arithmetic number, because the mean of its divisors is an integer number (1226778347683).

Almost surely, 213212111121121 is an apocalyptic number.

13212111121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13212111121121 is a deficient number, since it is larger than the sum of its proper divisors (1509229051075).

13212111121121 is a wasteful number, since it uses less digits than its factorization.

13212111121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495767232 (or 1495767221 counting only the distinct ones).

The product of its digits is 48, while the sum is 20.

Adding to 13212111121121 its reverse (12112111121231), we get a palindrome (25324222242352).

The spelling of 13212111121121 in words is "thirteen trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 73 121 803 8833 1495767137 16453438507 109191001001 180987823577 1201101011011 13212111121121