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2231212323113 is a prime number
BaseRepresentation
bin100000011101111110100…
…111100011000100101001
321220022011000121211111122
4200131332213203010221
5243024010323314423
64425001011305025
7320125343552444
oct40357647430451
97808130554448
102231212323113
11790285209344
123005105ab175
13132530165b97
1479dc3dd665b
153d08b6ec8c8
hex2077e9e3129

2231212323113 has 2 divisors, whose sum is σ = 2231212323114. Its totient is φ = 2231212323112.

The previous prime is 2231212323049. The next prime is 2231212323181. The reversal of 2231212323113 is 3113232121322.

2231212323113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1631349681049 + 599862642064 = 1277243^2 + 774508^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231212323113 - 26 = 2231212323049 is a prime.

It is a super-3 number, since 3×22312123231133 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2231212325113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115606161556 + 1115606161557.

It is an arithmetic number, because the mean of its divisors is an integer number (1115606161557).

Almost surely, 22231212323113 is an apocalyptic number.

It is an amenable number.

2231212323113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231212323113 is an equidigital number, since it uses as much as digits as its factorization.

2231212323113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

Adding to 2231212323113 its reverse (3113232121322), we get a palindrome (5344444444435).

The spelling of 2231212323113 in words is "two trillion, two hundred thirty-one billion, two hundred twelve million, three hundred twenty-three thousand, one hundred thirteen".