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34100054137 is a prime number
BaseRepresentation
bin11111110000100001…
…011000100001111001
310021000111021020022001
4133300201120201321
51024314103213022
623355414301001
72315013451312
oct376041304171
9107014236261
1034100054137
1113509656426
126738057761
1332a5948b36
141916ba5609
15d48a64b27
hex7f0858879

34100054137 has 2 divisors, whose sum is σ = 34100054138. Its totient is φ = 34100054136.

The previous prime is 34100054089. The next prime is 34100054207. The reversal of 34100054137 is 73145000143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21289436281 + 12810617856 = 145909^2 + 113184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34100054137 is a prime.

It is not a weakly prime, because it can be changed into another prime (34100054237) 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, 17050027068 + 17050027069.

It is an arithmetic number, because the mean of its divisors is an integer number (17050027069).

Almost surely, 234100054137 is an apocalyptic number.

It is an amenable number.

34100054137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100054137 is an equidigital number, since it uses as much as digits as its factorization.

34100054137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 34100054137 in words is "thirty-four billion, one hundred million, fifty-four thousand, one hundred thirty-seven".