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34383106697521 is a prime number
BaseRepresentation
bin1111101000101011100001…
…10111000110100100110001
311111201222210211020010222111
413310111300313012210301
514001313100303310041
6201043214155205321
710146045302530531
oct764256067064461
9144658724203874
1034383106697521
11aa5688040190a
123a33814a46841
13162540b9cca3a
1486c2190254c1
153e95b452e981
hex1f4570dc6931

34383106697521 has 2 divisors, whose sum is σ = 34383106697522. Its totient is φ = 34383106697520.

The previous prime is 34383106697509. The next prime is 34383106697539. The reversal of 34383106697521 is 12579660138343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33455812810000 + 927293887521 = 5784100^2 + 962961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34383106697521 is a prime.

It is a super-2 number, since 2×343831066975212 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34383106797521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17191553348760 + 17191553348761.

It is an arithmetic number, because the mean of its divisors is an integer number (17191553348761).

It is a 2-persistent number, because it is pandigital, and so is 2⋅34383106697521 = 68766213395042, but 3⋅34383106697521 = 103149320092563 is not.

Almost surely, 234383106697521 is an apocalyptic number.

It is an amenable number.

34383106697521 is a deficient number, since it is larger than the sum of its proper divisors (1).

34383106697521 is an equidigital number, since it uses as much as digits as its factorization.

34383106697521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 34383106697521 in words is "thirty-four trillion, three hundred eighty-three billion, one hundred six million, six hundred ninety-seven thousand, five hundred twenty-one".