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21111222113 is a prime number
BaseRepresentation
bin10011101010010100…
…111010111101100001
32000111021111012102022
4103222110322331201
5321213433101423
613410502431225
71345104266342
oct235224727541
960437435368
1021111222113
118a53809703
124112132515
131cb5987507
141043b060c9
158385bbdc8
hex4ea53af61

21111222113 has 2 divisors, whose sum is σ = 21111222114. Its totient is φ = 21111222112.

The previous prime is 21111222091. The next prime is 21111222151. The reversal of 21111222113 is 31122211112.

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., 21109765264 + 1456849 = 145292^2 + 1207^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111222113 - 26 = 21111222049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21111222091 and 21111222100.

It is not a weakly prime, because it can be changed into another prime (21111222163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555611056 + 10555611057.

It is an arithmetic number, because the mean of its divisors is an integer number (10555611057).

Almost surely, 221111222113 is an apocalyptic number.

It is an amenable number.

21111222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111222113 is an equidigital number, since it uses as much as digits as its factorization.

21111222113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21111222113 its reverse (31122211112), we get a palindrome (52233433225).

The spelling of 21111222113 in words is "twenty-one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred thirteen".