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30302312032001 is a prime number
BaseRepresentation
bin1101110001111010011101…
…00010110110011100000001
310222021212120020010011220002
412320331032202312130001
512432433113340011001
6144240405011125345
76245161353304622
oct670751642663401
9128255506104802
1030302312032001
1197231581871a9
12349495aba3855
1313ba65a266719
1476a8d55ada49
1537837543446b
hex1b8f4e8b6701

30302312032001 has 2 divisors, whose sum is σ = 30302312032002. Its totient is φ = 30302312032000.

The previous prime is 30302312031997. The next prime is 30302312032033. The reversal of 30302312032001 is 10023021320303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22482542963776 + 7819769068225 = 4741576^2 + 2796385^2 .

It is a cyclic number.

It is not a de Polignac number, because 30302312032001 - 22 = 30302312031997 is a prime.

It is a super-2 number, since 2×303023120320012 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (30302312032051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15151156016000 + 15151156016001.

It is an arithmetic number, because the mean of its divisors is an integer number (15151156016001).

Almost surely, 230302312032001 is an apocalyptic number.

It is an amenable number.

30302312032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

30302312032001 is an equidigital number, since it uses as much as digits as its factorization.

30302312032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30302312032001 its reverse (10023021320303), we get a palindrome (40325333352304).

The spelling of 30302312032001 in words is "thirty trillion, three hundred two billion, three hundred twelve million, thirty-two thousand, one".