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34000123121 = 53641511757
BaseRepresentation
bin11111101010100100…
…001011010011110001
310020202112020012201022
4133222210023103301
51024113012414441
623341444345225
72312361164246
oct375244132361
9106675205638
1034000123121
1113468201808
12670a6a5215
13328b02a863
1419077d15cd
15d3edc584b
hex7ea90b4f1

34000123121 has 4 divisors (see below), whose sum is σ = 34641634932. Its totient is φ = 33358611312.

The previous prime is 34000123117. The next prime is 34000123123. The reversal of 34000123121 is 12132100043.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12132100043 = 71733157149.

It can be written as a sum of positive squares in 2 ways, for example, as 12574482496 + 21425640625 = 112136^2 + 146375^2 .

It is a cyclic number.

It is not a de Polignac number, because 34000123121 - 22 = 34000123117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34000123121.

It is not an unprimeable number, because it can be changed into a prime (34000123123) 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 in 3 ways as a sum of consecutive naturals, for example, 320755826 + ... + 320755931.

It is an arithmetic number, because the mean of its divisors is an integer number (8660408733).

Almost surely, 234000123121 is an apocalyptic number.

It is an amenable number.

34000123121 is a deficient number, since it is larger than the sum of its proper divisors (641511811).

34000123121 is an equidigital number, since it uses as much as digits as its factorization.

34000123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641511810.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 34000123121 its reverse (12132100043), we get a palindrome (46132223164).

The spelling of 34000123121 in words is "thirty-four billion, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 53 641511757 34000123121