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34010313133 is a prime number
BaseRepresentation
bin11111101011001011…
…000011000110101101
310020210020101220210011
4133223023003012231
51024123120010013
623342451013221
72312543614606
oct375313030655
9106706356704
1034010313133
1113472a31705
126711b9a211
133290187a54
141908cc4dad
15d40c39c3d
hex7eb2c31ad

34010313133 has 2 divisors, whose sum is σ = 34010313134. Its totient is φ = 34010313132.

The previous prime is 34010313121. The next prime is 34010313163. The reversal of 34010313133 is 33131301043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34004466409 + 5846724 = 184403^2 + 2418^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34010313133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34010313163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17005156566 + 17005156567.

It is an arithmetic number, because the mean of its divisors is an integer number (17005156567).

Almost surely, 234010313133 is an apocalyptic number.

It is an amenable number.

34010313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34010313133 is an equidigital number, since it uses as much as digits as its factorization.

34010313133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 34010313133 its reverse (33131301043), we get a palindrome (67141614176).

The spelling of 34010313133 in words is "thirty-four billion, ten million, three hundred thirteen thousand, one hundred thirty-three".