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12331122101 is a prime number
BaseRepresentation
bin10110111101111110…
…11111110110110101
31011211101011220110222
423132333133312311
5200223231401401
65355334424125
7614401544204
oct133677376665
934741156428
1012331122101
115258662601
122481802045
13121693b26c
1484d9b323b
154c287ac1b
hex2defdfdb5

12331122101 has 2 divisors, whose sum is σ = 12331122102. Its totient is φ = 12331122100.

The previous prime is 12331122073. The next prime is 12331122131. The reversal of 12331122101 is 10122113321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6705972100 + 5625150001 = 81890^2 + 75001^2 .

It is an emirp because it is prime and its reverse (10122113321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12331122101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12331122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331122131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165561050 + 6165561051.

It is an arithmetic number, because the mean of its divisors is an integer number (6165561051).

Almost surely, 212331122101 is an apocalyptic number.

It is an amenable number.

12331122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331122101 is an equidigital number, since it uses as much as digits as its factorization.

12331122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12331122101 its reverse (10122113321), we get a palindrome (22453235422).

The spelling of 12331122101 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred one".