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5334120214335 = 3251123678833023
BaseRepresentation
bin100110110011111001001…
…0101110010111100111111
3200212221022000020122001100
41031213302111302330333
51144343234233324320
615202243324144143
71060243320503163
oct115476225627477
920787260218040
105334120214335
111777207889900
12721956098053
132c900ba79cc3
1414625c21aca3
1593b455c8790
hex4d9f2572f3f

5334120214335 has 144 divisors (see below), whose sum is σ = 10205354944512. Its totient is φ = 2575419960960.

The previous prime is 5334120214327. The next prime is 5334120214343.

5334120214335 is a `hidden beast` number, since 53 + 3 + 41 + 20 + 214 + 335 = 666.

5334120214335 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5334120214327) and next prime (5334120214343).

It is not a de Polignac number, because 5334120214335 - 23 = 5334120214327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5334120214335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1764510634 + ... + 1764513656.

It is an arithmetic number, because the mean of its divisors is an integer number (70870520448).

Almost surely, 25334120214335 is an apocalyptic number.

5334120214335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5334120214335 is a deficient number, since it is larger than the sum of its proper divisors (4871234730177).

5334120214335 is a wasteful number, since it uses less digits than its factorization.

5334120214335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4292 counting only the distinct ones).

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

It can be divided in two parts, 5334120 and 214335, that added together give a palindrome (5548455).

The spelling of 5334120214335 in words is "five trillion, three hundred thirty-four billion, one hundred twenty million, two hundred fourteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 367 495 605 883 1089 1101 1815 1835 2649 3023 3303 4037 4415 5445 5505 7947 9069 9713 12111 13245 15115 16515 20185 27207 29139 33253 36333 39735 44407 45345 48565 60555 87417 99759 106843 133221 136035 145695 166265 181665 222035 299277 320529 324061 365783 399663 437085 498795 534215 666105 961587 972183 1097349 1109441 1496385 1602645 1620305 1828915 1998315 2669309 2916549 3292047 3328323 3564671 4807935 4860915 5486745 5547205 8007927 9984969 10694013 12203851 13346545 14582745 16460235 16641615 17823355 24023781 29362399 32082039 36611553 39211381 40039635 49924845 53470065 61019255 88087197 109834659 117634143 120118905 134242361 146811995 160410195 183057765 196056905 264261591 322986389 352902429 402727083 440435985 549173295 588170715 671211805 968959167 979636403 1208181249 1321307955 1614931945 1764512145 2013635415 2906877501 2938909209 4844795835 4898182015 6040906245 8816727627 10776000433 14534387505 14694546045 32328001299 44083638135 53880002165 96984003897 118536004763 161640006495 355608014289 484920019485 592680023815 1066824042867 1778040071445 5334120214335