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312034343205 = 351317107879701
BaseRepresentation
bin1001000101001101011…
…00100011100100100101
31002211102012200000010010
410202212230203210211
520103021242440310
6355202510520433
731354334104134
oct4424654434445
91084365600103
10312034343205
11110373285492
1250583806119
132356a129250
141116153d91b
1581b3e65320
hex48a6b23925

312034343205 has 64 divisors (see below), whose sum is σ = 574607271168. Its totient is φ = 143229235200.

The previous prime is 312034343147. The next prime is 312034343209. The reversal of 312034343205 is 502343430213.

It is not a de Polignac number, because 312034343205 - 27 = 312034343077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312034343209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85146 + ... + 794555.

It is an arithmetic number, because the mean of its divisors is an integer number (8978238612).

Almost surely, 2312034343205 is an apocalyptic number.

It is an amenable number.

312034343205 is a deficient number, since it is larger than the sum of its proper divisors (262572927963).

312034343205 is a wasteful number, since it uses less digits than its factorization.

312034343205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879846.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 312034343205 its reverse (502343430213), we get a palindrome (814377773418).

The spelling of 312034343205 in words is "three hundred twelve billion, thirty-four million, three hundred forty-three thousand, two hundred five".

Divisors: 1 3 5 13 15 17 39 51 65 85 107 195 221 255 321 535 663 1105 1391 1605 1819 3315 4173 5457 6955 9095 20865 23647 27285 70941 118235 354705 879701 2639103 4398505 11436113 13195515 14954917 34308339 44864751 57180565 74774585 94128007 171541695 194413921 224323755 282384021 470640035 583241763 972069605 1223664091 1411920105 1600176119 2916208815 3670992273 4800528357 6118320455 8000880595 18354961365 20802289547 24002641785 62406868641 104011447735 312034343205