Search a number
-
+
21211003300169 is a prime number
BaseRepresentation
bin1001101001010100100100…
…10100010010100101001001
32210002202022021211011212002
410310222102110102211021
510240010113321101134
6113040111141400345
74316305302154154
oct464522224224511
983082267734762
1021211003300169
116838599436431
122466a021090b5
13bab25c3b0237
14534891c74c9b
1526bb30a6387e
hex134a92512949

21211003300169 has 2 divisors, whose sum is σ = 21211003300170. Its totient is φ = 21211003300168.

The previous prime is 21211003300133. The next prime is 21211003300171. The reversal of 21211003300169 is 96100330011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19702989828025 + 1508013472144 = 4438805^2 + 1228012^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211003300169 - 212 = 21211003296073 is a prime.

It is a super-2 number, since 2×212110033001692 (a number of 27 digits) contains 22 as substring.

Together with 21211003300171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21211003350169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605501650084 + 10605501650085.

It is an arithmetic number, because the mean of its divisors is an integer number (10605501650085).

Almost surely, 221211003300169 is an apocalyptic number.

It is an amenable number.

21211003300169 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211003300169 is an equidigital number, since it uses as much as digits as its factorization.

21211003300169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 21211003300169 in words is "twenty-one trillion, two hundred eleven billion, three million, three hundred thousand, one hundred sixty-nine".