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1300312022021 is a prime number
BaseRepresentation
bin10010111011000000101…
…000101101110000000101
311121022022222110210222022
4102323000220231300011
5132301014334201041
62433204411212525
7162641641551515
oct22730050556005
94538288423868
101300312022021
11461506267a31
12190013a47145
139580794425c
1446d14bab845
1523c5650b24b
hex12ec0a2dc05

1300312022021 has 2 divisors, whose sum is σ = 1300312022022. Its totient is φ = 1300312022020.

The previous prime is 1300312021999. The next prime is 1300312022027. The reversal of 1300312022021 is 1202202130031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1289335269121 + 10976752900 = 1135489^2 + 104770^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300312022021 - 226 = 1300244913157 is a prime.

It is a super-2 number, since 2×13003120220212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300312022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650156011010 + 650156011011.

It is an arithmetic number, because the mean of its divisors is an integer number (650156011011).

Almost surely, 21300312022021 is an apocalyptic number.

It is an amenable number.

1300312022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300312022021 is an equidigital number, since it uses as much as digits as its factorization.

1300312022021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1300312022021 its reverse (1202202130031), we get a palindrome (2502514152052).

The spelling of 1300312022021 in words is "one trillion, three hundred billion, three hundred twelve million, twenty-two thousand, twenty-one".