Search a number
-
+
34551217601 is a prime number
BaseRepresentation
bin100000001011011010…
…011011110111000001
310022011221012201012222
4200023122123313001
51031230102430401
623512252300425
72332132334555
oct401332336701
9108157181188
1034551217601
111372029719a
126843171715
133348262274
14195aa87865
15d73482c1b
hex80b69bdc1

34551217601 has 2 divisors, whose sum is σ = 34551217602. Its totient is φ = 34551217600.

The previous prime is 34551217579. The next prime is 34551217607. The reversal of 34551217601 is 10671215543.

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., 33856368001 + 694849600 = 184001^2 + 26360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34551217601 is a prime.

It is not a weakly prime, because it can be changed into another prime (34551217607) 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, 17275608800 + 17275608801.

It is an arithmetic number, because the mean of its divisors is an integer number (17275608801).

Almost surely, 234551217601 is an apocalyptic number.

It is an amenable number.

34551217601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34551217601 is an equidigital number, since it uses as much as digits as its factorization.

34551217601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 34551217601 in words is "thirty-four billion, five hundred fifty-one million, two hundred seventeen thousand, six hundred one".