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311122332121 is a prime number
BaseRepresentation
bin1001000011100000101…
…01100000100111011001
31002202001122120001002211
410201300111200213121
520044134304111441
6354532211155121
731322621121526
oct4416025404731
91082048501084
10311122332121
1110aa4549a017
125036a2a5aa1
13234531b8813
14110b637814d
15815dd64a81
hex48705609d9

311122332121 has 2 divisors, whose sum is σ = 311122332122. Its totient is φ = 311122332120.

The previous prime is 311122332113. The next prime is 311122332127. The reversal of 311122332121 is 121233221113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188316942025 + 122805390096 = 433955^2 + 350436^2 .

It is an emirp because it is prime and its reverse (121233221113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311122332121 - 23 = 311122332113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311122332092 and 311122332101.

It is not a weakly prime, because it can be changed into another prime (311122332127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155561166060 + 155561166061.

It is an arithmetic number, because the mean of its divisors is an integer number (155561166061).

Almost surely, 2311122332121 is an apocalyptic number.

It is an amenable number.

311122332121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311122332121 is an equidigital number, since it uses as much as digits as its factorization.

311122332121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 311122332121 its reverse (121233221113), we get a palindrome (432355553234).

The spelling of 311122332121 in words is "three hundred eleven billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred twenty-one".