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112121220001013 is a prime number
BaseRepresentation
bin11001011111100101000001…
…011111010110110011110101
3112200222200110121012201100022
4121133211001133112303311
5104143443224310013023
61034243435530054525
732421330232160366
oct3137450137266365
9480880417181308
10112121220001013
11327a83847729a3
12106a9a1587a445
134a73ca76c8082
141d989a5b91b6d
15ce67e48327c8
hex65f9417d6cf5

112121220001013 has 2 divisors, whose sum is σ = 112121220001014. Its totient is φ = 112121220001012.

The previous prime is 112121220001001. The next prime is 112121220001057. The reversal of 112121220001013 is 310100022121211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107490903599524 + 4630316401489 = 10367782^2 + 2151817^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121220001013 - 26 = 112121220000949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112121220000982 and 112121220001000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121220001093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060610000506 + 56060610000507.

It is an arithmetic number, because the mean of its divisors is an integer number (56060610000507).

Almost surely, 2112121220001013 is an apocalyptic number.

It is an amenable number.

112121220001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121220001013 is an equidigital number, since it uses as much as digits as its factorization.

112121220001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 112121220001013 its reverse (310100022121211), we get a palindrome (422221242122224).

The spelling of 112121220001013 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty million, one thousand, thirteen".