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5313224223135 = 3251997151424271
BaseRepresentation
bin100110101010001010011…
…0101111010100110011111
3200210221100201202021221100
41031110110311322212133
51144022440400120020
615144510030404143
71055603435505063
oct115242465724637
920727321667840
105313224223135
111769364616394
127198a4060653
132c705b88057a
14145238d3daa3
1593320d73a90
hex4d514d7a99f

5313224223135 has 96 divisors (see below), whose sum is σ = 9859130910720. Its totient is φ = 2639298816000.

The previous prime is 5313224223101. The next prime is 5313224223143.

5313224223135 is a `hidden beast` number, since 5 + 31 + 322 + 42 + 231 + 35 = 666.

5313224223135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5313224223135 - 27 = 5313224223007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5313224223135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12311050 + ... + 12735320.

It is an arithmetic number, because the mean of its divisors is an integer number (102699280320).

Almost surely, 25313224223135 is an apocalyptic number.

5313224223135 is a deficient number, since it is larger than the sum of its proper divisors (4545906687585).

5313224223135 is a wasteful number, since it uses less digits than its factorization.

5313224223135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424549 (or 424546 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 5313224223135 in words is "five trillion, three hundred thirteen billion, two hundred twenty-four million, two hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 97 151 171 285 291 453 485 755 855 873 1359 1455 1843 2265 2869 4365 5529 6795 8607 9215 14345 14647 16587 25821 27645 43035 43941 73235 82935 129105 131823 219705 278293 424271 659115 834879 1272813 1391465 2121355 2504637 3818439 4174395 6364065 8061149 12523185 19092195 24183447 40305745 41154287 64064921 72550341 120917235 123462861 192194763 205771435 320324605 362751705 370388583 576584289 617314305 781931453 960973815 1217233499 1851942915 2345794359 2882921445 3651700497 3909657265 6086167495 6214297337 7037383077 10955101491 11728971795 18258502485 18642892011 31071486685 35186915385 54775507455 55928676033 93214460055 118071649403 279643380165 354214948209 590358247015 1062644844627 1771074741045 5313224223135