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34234110013 = 412813079679
BaseRepresentation
bin11111111000100000…
…110001000000111101
310021100211111222101111
4133320200301000331
51030102413010023
623421003442021
72321232063625
oct377040610075
9107324458344
1034234110013
1113578298604
126774b26311
1332c765473c
14192a8dd885
15d556e500d
hex7f883103d

34234110013 has 16 divisors (see below), whose sum is σ = 35312175360. Its totient is φ = 33168441600.

The previous prime is 34234110011. The next prime is 34234110019. The reversal of 34234110013 is 31001143243.

It is a cyclic number.

It is not a de Polignac number, because 34234110013 - 21 = 34234110011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234110011) 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 in 15 ways as a sum of consecutive naturals, for example, 3532108 + ... + 3541786.

It is an arithmetic number, because the mean of its divisors is an integer number (2207010960).

Almost surely, 234234110013 is an apocalyptic number.

It is an amenable number.

34234110013 is a deficient number, since it is larger than the sum of its proper divisors (1078065347).

34234110013 is a wasteful number, since it uses less digits than its factorization.

34234110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34234110013 its reverse (31001143243), we get a palindrome (65235253256).

The spelling of 34234110013 in words is "thirty-four billion, two hundred thirty-four million, one hundred ten thousand, thirteen".

Divisors: 1 41 281 307 9679 11521 12587 86267 396839 2719799 2971453 3536947 111511759 121829573 834978293 34234110013