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21300310153 is a prime number
BaseRepresentation
bin10011110101100110…
…001111000010001001
32000222110021212110001
4103311212033002021
5322110334411103
613441335323001
71352561435413
oct236546170211
960873255401
1021300310153
119040519311
124165520461
132015bc0b25
141060c879b3
15849ebd01d
hex4f598f089

21300310153 has 2 divisors, whose sum is σ = 21300310154. Its totient is φ = 21300310152.

The previous prime is 21300310151. The next prime is 21300310177. The reversal of 21300310153 is 35101300312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21183929209 + 116380944 = 145547^2 + 10788^2 .

It is a cyclic number.

It is not a de Polignac number, because 21300310153 - 21 = 21300310151 is a prime.

It is a super-2 number, since 2×213003101532 (a number of 21 digits) contains 22 as substring.

Together with 21300310151, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 21300310153.

It is not a weakly prime, because it can be changed into another prime (21300310151) 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, 10650155076 + 10650155077.

It is an arithmetic number, because the mean of its divisors is an integer number (10650155077).

Almost surely, 221300310153 is an apocalyptic number.

It is an amenable number.

21300310153 is a deficient number, since it is larger than the sum of its proper divisors (1).

21300310153 is an equidigital number, since it uses as much as digits as its factorization.

21300310153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 21300310153 its reverse (35101300312), we get a palindrome (56401610465).

The spelling of 21300310153 in words is "twenty-one billion, three hundred million, three hundred ten thousand, one hundred fifty-three".