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34445006131 is a prime number
BaseRepresentation
bin100000000101000101…
…010001010100110011
310021220112100121110211
4200011011101110303
51031020410144011
623453540004551
72326402502254
oct400505212463
9107815317424
1034445006131
1113676342a18
126813690757
13332c255443
14194a91ab2b
15d68ea2b21
hex805151533

34445006131 has 2 divisors, whose sum is σ = 34445006132. Its totient is φ = 34445006130.

The previous prime is 34445006129. The next prime is 34445006173. The reversal of 34445006131 is 13160054443.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34445006131 - 21 = 34445006129 is a prime.

It is a super-2 number, since 2×344450061312 (a number of 22 digits) contains 22 as substring.

Together with 34445006129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 34445006093 and 34445006102.

It is not a weakly prime, because it can be changed into another prime (34445006731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17222503065 + 17222503066.

It is an arithmetic number, because the mean of its divisors is an integer number (17222503066).

Almost surely, 234445006131 is an apocalyptic number.

34445006131 is a deficient number, since it is larger than the sum of its proper divisors (1).

34445006131 is an equidigital number, since it uses as much as digits as its factorization.

34445006131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 34445006131 in words is "thirty-four billion, four hundred forty-five million, six thousand, one hundred thirty-one".