Search a number
-
+
35005022057 is a prime number
BaseRepresentation
bin100000100110011101…
…100011111101101001
310100100120010100220102
4200212131203331221
51033142241201212
624025303035145
72346312530615
oct404635437551
9110316110812
1035005022057
11139334711a5
12694b13bab5
1333bb291805
1419a1056345
15d9d2235c2
hex826763f69

35005022057 has 2 divisors, whose sum is σ = 35005022058. Its totient is φ = 35005022056.

The previous prime is 35005021981. The next prime is 35005022071. The reversal of 35005022057 is 75022050053.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30937643881 + 4067378176 = 175891^2 + 63776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35005022057 is a prime.

It is a super-2 number, since 2×350050220572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (35005022357) 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, 17502511028 + 17502511029.

It is an arithmetic number, because the mean of its divisors is an integer number (17502511029).

Almost surely, 235005022057 is an apocalyptic number.

It is an amenable number.

35005022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

35005022057 is an equidigital number, since it uses as much as digits as its factorization.

35005022057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10500, while the sum is 29.

The spelling of 35005022057 in words is "thirty-five billion, five million, twenty-two thousand, fifty-seven".