Search a number
-
+
35101133057 is a prime number
BaseRepresentation
bin100000101100001100…
…001100100100000001
310100121020222022102002
4200230030030210001
51033341342224212
624043015033345
72351560464614
oct405414144401
9110536868362
1035101133057
1113982746881
12697736b855
133405173123
1419adb1417b
15da68aaac2
hex82c30c901

35101133057 has 2 divisors, whose sum is σ = 35101133058. Its totient is φ = 35101133056.

The previous prime is 35101132951. The next prime is 35101133059. The reversal of 35101133057 is 75033110153.

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., 26895672001 + 8205461056 = 163999^2 + 90584^2 .

It is an emirp because it is prime and its reverse (75033110153) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35101133057 - 212 = 35101128961 is a prime.

Together with 35101133059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (35101133059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17550566528 + 17550566529.

It is an arithmetic number, because the mean of its divisors is an integer number (17550566529).

Almost surely, 235101133057 is an apocalyptic number.

It is an amenable number.

35101133057 is a deficient number, since it is larger than the sum of its proper divisors (1).

35101133057 is an equidigital number, since it uses as much as digits as its factorization.

35101133057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 29.

The spelling of 35101133057 in words is "thirty-five billion, one hundred one million, one hundred thirty-three thousand, fifty-seven".