Search a number
-
+
21022112021117 is a prime number
BaseRepresentation
bin1001100011110100101111…
…00001001111101001111101
32202102200202010112222200212
410301322113201033221331
510223411241134133432
6112413231442002205
74266540350606534
oct461722741175175
982380663488625
1021022112021117
116775478210749
122436286946365
13b964b869382c
1452969328531b
15266c779a72b2
hex131e9784fa7d

21022112021117 has 2 divisors, whose sum is σ = 21022112021118. Its totient is φ = 21022112021116.

The previous prime is 21022112021023. The next prime is 21022112021147. The reversal of 21022112021117 is 71112021122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11440771821241 + 9581340199876 = 3382421^2 + 3095374^2 .

It is a cyclic number.

It is not a de Polignac number, because 21022112021117 - 224 = 21022095243901 is a prime.

It is a super-4 number, since 4×210221120211174 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21022112021092 and 21022112021101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21022112021147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10511056010558 + 10511056010559.

It is an arithmetic number, because the mean of its divisors is an integer number (10511056010559).

Almost surely, 221022112021117 is an apocalyptic number.

It is an amenable number.

21022112021117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21022112021117 is an equidigital number, since it uses as much as digits as its factorization.

21022112021117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 21022112021117 its reverse (71112021122012), we get a palindrome (92134133143129).

The spelling of 21022112021117 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, twenty-one thousand, one hundred seventeen".