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34122131355 = 3513193190619
BaseRepresentation
bin11111110001110101…
…100110011110011011
310021002000210212112210
4133301311212132123
51024340231200410
623401523410203
72315402221344
oct376165463633
9107060725483
1034122131355
1113520065364
126743523963
1332aa3a8890
141919ab10cb
15d4a976220
hex7f1d6679b

34122131355 has 32 divisors (see below), whose sum is σ = 58826154240. Its totient is φ = 16789703040.

The previous prime is 34122131333. The next prime is 34122131359. The reversal of 34122131355 is 55313122143.

It is not a de Polignac number, because 34122131355 - 27 = 34122131227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34122131359) 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 31 ways as a sum of consecutive naturals, for example, 331236 + ... + 421854.

It is an arithmetic number, because the mean of its divisors is an integer number (1838317320).

Almost surely, 234122131355 is an apocalyptic number.

34122131355 is a deficient number, since it is larger than the sum of its proper divisors (24704022885).

34122131355 is a wasteful number, since it uses less digits than its factorization.

34122131355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92571.

The product of its digits is 10800, while the sum is 30.

Adding to 34122131355 its reverse (55313122143), we get a palindrome (89435253498).

The spelling of 34122131355 in words is "thirty-four billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 13 15 39 65 195 1931 5793 9655 25103 28965 75309 90619 125515 271857 376545 453095 1178047 1359285 3534141 5890235 17670705 174985289 524955867 874926445 2274808757 2624779335 6824426271 11374043785 34122131355