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34075174121 is a prime number
BaseRepresentation
bin11111101111000010…
…011110010011101001
310020221202110012022222
4133233002132103221
51024241221032441
623353125123425
72314262125652
oct375702362351
9106852405288
1034075174121
11134a660272a
12672b859575
1332a0747431
14191376a529
15d4679cd4b
hex7ef09e4e9

34075174121 has 2 divisors, whose sum is σ = 34075174122. Its totient is φ = 34075174120.

The previous prime is 34075174019. The next prime is 34075174129. The reversal of 34075174121 is 12147157043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17866064896 + 16209109225 = 133664^2 + 127315^2 .

It is a cyclic number.

It is not a de Polignac number, because 34075174121 - 226 = 34008065257 is a prime.

It is a super-2 number, since 2×340751741212 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34075174129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17037587060 + 17037587061.

It is an arithmetic number, because the mean of its divisors is an integer number (17037587061).

Almost surely, 234075174121 is an apocalyptic number.

It is an amenable number.

34075174121 is a deficient number, since it is larger than the sum of its proper divisors (1).

34075174121 is an equidigital number, since it uses as much as digits as its factorization.

34075174121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 34075174121 in words is "thirty-four billion, seventy-five million, one hundred seventy-four thousand, one hundred twenty-one".