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34220012321 = 1113949944851
BaseRepresentation
bin11111110111101010…
…111111001100100001
310021022211222201222202
4133313222333030201
51030040310343241
623415341342545
72321001206525
oct376752771441
9107284881882
1034220012321
1113570339820
126770267a55
1332c4759a01
141928aadd85
15d5435cd9b
hex7f7abf321

34220012321 has 16 divisors (see below), whose sum is σ = 37675680000. Its totient is φ = 30822714000.

The previous prime is 34220012269. The next prime is 34220012399. The reversal of 34220012321 is 12321002243.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34220012321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34220012293 and 34220012302.

It is not an unprimeable number, because it can be changed into a prime (34220212321) 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 in 15 ways as a sum of consecutive naturals, for example, 740546 + ... + 785396.

It is an arithmetic number, because the mean of its divisors is an integer number (2354730000).

Almost surely, 234220012321 is an apocalyptic number.

It is an amenable number.

34220012321 is a deficient number, since it is larger than the sum of its proper divisors (3455667679).

34220012321 is a wasteful number, since it uses less digits than its factorization.

34220012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45500.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34220012321 its reverse (12321002243), we get a palindrome (46541014564).

The spelling of 34220012321 in words is "thirty-four billion, two hundred twenty million, twelve thousand, three hundred twenty-one".

Divisors: 1 11 139 499 1529 5489 44851 69361 493361 762971 6234289 22380649 68577179 246187139 3110910211 34220012321