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21314532401 is a prime number
BaseRepresentation
bin10011110110011100…
…011111010000110001
32001000110001102200222
4103312130133100301
5322123010014101
613443004222425
71353123351611
oct236634372061
961013042628
1021314532401
119048552738
12416a23aa15
132018b30466
141062b0aa41
1584b37c01b
hex4f671f431

21314532401 has 2 divisors, whose sum is σ = 21314532402. Its totient is φ = 21314532400.

The previous prime is 21314532373. The next prime is 21314532413. The reversal of 21314532401 is 10423541312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19633614400 + 1680918001 = 140120^2 + 40999^2 .

It is a cyclic number.

It is not a de Polignac number, because 21314532401 - 226 = 21247423537 is a prime.

It is not a weakly prime, because it can be changed into another prime (21314532451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10657266200 + 10657266201.

It is an arithmetic number, because the mean of its divisors is an integer number (10657266201).

Almost surely, 221314532401 is an apocalyptic number.

It is an amenable number.

21314532401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21314532401 is an equidigital number, since it uses as much as digits as its factorization.

21314532401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 21314532401 in words is "twenty-one billion, three hundred fourteen million, five hundred thirty-two thousand, four hundred one".