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34314223201 is a prime number
BaseRepresentation
bin11111111101010010…
…010111111001100001
310021120102021011000121
4133331102113321201
51030233420120301
623432544520241
72323224041026
oct377522277141
9107512234017
1034314223201
1113609536855
126797920081
13330b1244ab
1419373d554d
15d5c76c3a1
hex7fd497e61

34314223201 has 2 divisors, whose sum is σ = 34314223202. Its totient is φ = 34314223200.

The previous prime is 34314223187. The next prime is 34314223211. The reversal of 34314223201 is 10232241343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33496320400 + 817902801 = 183020^2 + 28599^2 .

It is a cyclic number.

It is not a de Polignac number, because 34314223201 - 217 = 34314092129 is a prime.

It is not a weakly prime, because it can be changed into another prime (34314223211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17157111600 + 17157111601.

It is an arithmetic number, because the mean of its divisors is an integer number (17157111601).

Almost surely, 234314223201 is an apocalyptic number.

It is an amenable number.

34314223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34314223201 is an equidigital number, since it uses as much as digits as its factorization.

34314223201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34314223201 its reverse (10232241343), we get a palindrome (44546464544).

The spelling of 34314223201 in words is "thirty-four billion, three hundred fourteen million, two hundred twenty-three thousand, two hundred one".