Search a number
-
+
34166195201 is a prime number
BaseRepresentation
bin11111110100011101…
…101100010000000001
310021012002201112210002
4133310131230100001
51024433021221301
623410140045345
72316445603355
oct376435542001
9107162645702
1034166195201
1113542a21166
126756233855
1332b6566068
1419218a1465
15d4e77c16b
hex7f476c401

34166195201 has 2 divisors, whose sum is σ = 34166195202. Its totient is φ = 34166195200.

The previous prime is 34166195131. The next prime is 34166195209. The reversal of 34166195201 is 10259166143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32601913600 + 1564281601 = 180560^2 + 39551^2 .

It is a cyclic number.

It is not a de Polignac number, because 34166195201 - 222 = 34162000897 is a prime.

It is not a weakly prime, because it can be changed into another prime (34166195209) 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, 17083097600 + 17083097601.

It is an arithmetic number, because the mean of its divisors is an integer number (17083097601).

Almost surely, 234166195201 is an apocalyptic number.

It is an amenable number.

34166195201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34166195201 is an equidigital number, since it uses as much as digits as its factorization.

34166195201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 34166195201 in words is "thirty-four billion, one hundred sixty-six million, one hundred ninety-five thousand, two hundred one".