Search a number
-
+
21430409257 is a prime number
BaseRepresentation
bin10011111101010110…
…100001100000101001
32001022112002120212101
4103331112201200221
5322342141044012
613502304013401
71356031321165
oct237526414051
961275076771
1021430409257
1190a79a8734
1241a1001261
132036b4274a
141074271ca5
1585661ad57
hex4fd5a1829

21430409257 has 2 divisors, whose sum is σ = 21430409258. Its totient is φ = 21430409256.

The previous prime is 21430409249. The next prime is 21430409261. The reversal of 21430409257 is 75290403412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18327473641 + 3102935616 = 135379^2 + 55704^2 .

It is a cyclic number.

It is not a de Polignac number, because 21430409257 - 23 = 21430409249 is a prime.

It is a super-2 number, since 2×214304092572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21430409227) 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, 10715204628 + 10715204629.

It is an arithmetic number, because the mean of its divisors is an integer number (10715204629).

Almost surely, 221430409257 is an apocalyptic number.

It is an amenable number.

21430409257 is a deficient number, since it is larger than the sum of its proper divisors (1).

21430409257 is an equidigital number, since it uses as much as digits as its factorization.

21430409257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 21430409257 in words is "twenty-one billion, four hundred thirty million, four hundred nine thousand, two hundred fifty-seven".