Search a number
-
+
35516097341 is a prime number
BaseRepresentation
bin100001000100111011…
…001010001100111101
310101200011210200101122
4201010323022030331
51040214110103331
624152121120325
72365056563204
oct410473121475
9111604720348
1035516097341
1114075a0266a
126a723290a5
133470123a1a
141a0cc9223b
15dcd02817b
hex844eca33d

35516097341 has 2 divisors, whose sum is σ = 35516097342. Its totient is φ = 35516097340.

The previous prime is 35516097317. The next prime is 35516097367. The reversal of 35516097341 is 14379061553.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27129384100 + 8386713241 = 164710^2 + 91579^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35516097341 is a prime.

It is a super-2 number, since 2×355160973412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35516097292 and 35516097301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35516097311) 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, 17758048670 + 17758048671.

It is an arithmetic number, because the mean of its divisors is an integer number (17758048671).

Almost surely, 235516097341 is an apocalyptic number.

It is an amenable number.

35516097341 is a deficient number, since it is larger than the sum of its proper divisors (1).

35516097341 is an equidigital number, since it uses as much as digits as its factorization.

35516097341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 44.

The spelling of 35516097341 in words is "thirty-five billion, five hundred sixteen million, ninety-seven thousand, three hundred forty-one".