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121343231205 = 32574169113597
BaseRepresentation
bin111000100000010011…
…1101100010011100101
3102121012121200211022100
41301000213230103211
53442002331344310
6131424434322313
711523666306240
oct1610047542345
9377177624270
10121343231205
11475090aa659
121b625729399
13b59a57a831
145c318bc257
153252d84ec0
hex1c409ec4e5

121343231205 has 96 divisors (see below), whose sum is σ = 246612457728. Its totient is φ = 54035942400.

The previous prime is 121343231183. The next prime is 121343231213. The reversal of 121343231205 is 502132343121.

121343231205 is a `hidden beast` number, since 1 + 2 + 1 + 343 + 2 + 312 + 0 + 5 = 666.

It is not a de Polignac number, because 121343231205 - 27 = 121343231077 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8917467 + ... + 8931063.

It is an arithmetic number, because the mean of its divisors is an integer number (2568879768).

Almost surely, 2121343231205 is an apocalyptic number.

121343231205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121343231205 is an abundant number, since it is smaller than the sum of its proper divisors (125269226523).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121343231205 is a wasteful number, since it uses less digits than its factorization.

121343231205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14347 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 121343231205 its reverse (502132343121), we get a palindrome (623475574326).

The spelling of 121343231205 in words is "one hundred twenty-one billion, three hundred forty-three million, two hundred thirty-one thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 691 861 1435 1845 2073 2583 3455 4305 4837 6219 10365 12915 13597 14511 24185 28331 31095 40791 43533 67985 72555 84993 95179 122373 141655 198317 203955 217665 254979 285537 424965 475895 557477 594951 611865 856611 991585 1274895 1427685 1672431 1784853 2787385 2974755 3902339 4283055 5017293 8362155 8924265 9395527 11707017 19511695 25086465 28186581 35121051 46977635 58535085 65768689 84559743 140932905 175605255 197306067 328843445 385216607 422798715 591918201 986530335 1155649821 1926083035 2696516249 2959591005 3466949463 5778249105 8089548747 13482581245 17334747315 24268646241 40447743735 121343231205