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34213100041 is a prime number
BaseRepresentation
bin11111110111010000…
…100111101000001001
310021022100222120010101
4133313100213220021
51030032023200131
623414533245401
72320555360231
oct376720475011
9107270876111
1034213100041
111356744849a
126769a93861
1332c31a96c3
141927bd0cc1
15d53944c61
hex7f7427a09

34213100041 has 2 divisors, whose sum is σ = 34213100042. Its totient is φ = 34213100040.

The previous prime is 34213100021. The next prime is 34213100081. The reversal of 34213100041 is 14000131243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32500878400 + 1712221641 = 180280^2 + 41379^2 .

It is a cyclic number.

It is not a de Polignac number, because 34213100041 - 229 = 33676229129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34213099991 and 34213100018.

It is not a weakly prime, because it can be changed into another prime (34213100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17106550020 + 17106550021.

It is an arithmetic number, because the mean of its divisors is an integer number (17106550021).

Almost surely, 234213100041 is an apocalyptic number.

It is an amenable number.

34213100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34213100041 is an equidigital number, since it uses as much as digits as its factorization.

34213100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34213100041 its reverse (14000131243), we get a palindrome (48213231284).

The spelling of 34213100041 in words is "thirty-four billion, two hundred thirteen million, one hundred thousand, forty-one".