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34123131 = 32717151211
BaseRepresentation
bin1000001000101…
…0110101111011
32101012122010200
42002022311323
532213420011
63215213243
7563020230
oct202126573
971178120
1034123131
1118297239
12b517223
1370b9903
144763787
152ee0856
hex208ad7b

34123131 has 48 divisors (see below), whose sum is σ = 60323328. Its totient is φ = 18144000.

The previous prime is 34123093. The next prime is 34123151. The reversal of 34123131 is 13132143.

34123131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34123131 - 210 = 34122107 is a prime.

It is a super-2 number, since 2×341231312 = 2328776138486322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34123151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161616 + ... + 161826.

It is an arithmetic number, because the mean of its divisors is an integer number (1256736).

Almost surely, 234123131 is an apocalyptic number.

34123131 is a deficient number, since it is larger than the sum of its proper divisors (26200197).

34123131 is a wasteful number, since it uses less digits than its factorization.

34123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 34123131 is about 5841.5007489514. The cubic root of 34123131 is about 324.3517841204.

Adding to 34123131 its reverse (13132143), we get a palindrome (47255274).

The spelling of 34123131 in words is "thirty-four million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 151 153 211 357 453 633 1057 1071 1359 1477 1899 2567 3171 3587 4431 7701 9513 10761 13293 17969 23103 25109 31861 32283 53907 75327 95583 161721 223027 225981 286749 541637 669081 1624911 2007243 3791459 4874733 11374377 34123131