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34122131333 is a prime number
BaseRepresentation
bin11111110001110101…
…100110011110000101
310021002000210212111222
4133301311212132011
51024340231200313
623401523410125
72315402221313
oct376165463605
9107060725458
1034122131333
1113520065344
126743523945
1332aa3a8874
141919ab10b3
15d4a976208
hex7f1d66785

34122131333 has 2 divisors, whose sum is σ = 34122131334. Its totient is φ = 34122131332.

The previous prime is 34122131317. The next prime is 34122131359. The reversal of 34122131333 is 33313122143.

It is an a-pointer prime, because the next prime (34122131359) can be obtained adding 34122131333 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20938958209 + 13183173124 = 144703^2 + 114818^2 .

It is a cyclic number.

It is not a de Polignac number, because 34122131333 - 24 = 34122131317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34122133333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061065666 + 17061065667.

It is an arithmetic number, because the mean of its divisors is an integer number (17061065667).

Almost surely, 234122131333 is an apocalyptic number.

It is an amenable number.

34122131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122131333 is an equidigital number, since it uses as much as digits as its factorization.

34122131333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

Adding to 34122131333 its reverse (33313122143), we get a palindrome (67435253476).

The spelling of 34122131333 in words is "thirty-four billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-three".