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11211100031 is a prime number
BaseRepresentation
bin10100111000011101…
…11100111101111111
31001221022122220001002
422130032330331333
5140430020200111
65052244440515
7544551530555
oct123416747577
931838586032
1011211100031
11483341242a
12220a6a913b
13109889a101
14784d41bd5
1545938c63b
hex29c3bcf7f

11211100031 has 2 divisors, whose sum is σ = 11211100032. Its totient is φ = 11211100030.

The previous prime is 11211100003. The next prime is 11211100073. The reversal of 11211100031 is 13000111211.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (13000111211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11211100031 - 214 = 11211083647 is a prime.

It is a super-2 number, since 2×112111000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11211099985 and 11211100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11211100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605550015 + 5605550016.

It is an arithmetic number, because the mean of its divisors is an integer number (5605550016).

Almost surely, 211211100031 is an apocalyptic number.

11211100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211100031 is an equidigital number, since it uses as much as digits as its factorization.

11211100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11211100031 its reverse (13000111211), we get a palindrome (24211211242).

The spelling of 11211100031 in words is "eleven billion, two hundred eleven million, one hundred thousand, thirty-one".