Search a number
-
+
12034313024520 = 2335131911840331
BaseRepresentation
bin1010111100011111010011…
…1100111111010000001000
31120121110122222002100112110
42233013310330333100020
53034132233113241040
641332253113142320
72351310331631613
oct257076474772010
946543588070473
1012034313024520
11391a7a5a72006
1214243b70ba9a0
13693aa54b45a7
142d866cb8117a
1515d090502980
hexaf1f4f3f408

12034313024520 has 128 divisors (see below), whose sum is σ = 36418509895680. Its totient is φ = 3181153248000.

The previous prime is 12034313024497. The next prime is 12034313024527. The reversal of 12034313024520 is 2542031343021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12034313024527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13900755 + ... + 14741085.

It is an arithmetic number, because the mean of its divisors is an integer number (284519608560).

Almost surely, 212034313024520 is an apocalyptic number.

12034313024520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034313024520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209254947840).

12034313024520 is an abundant number, since it is smaller than the sum of its proper divisors (24384196871160).

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

12034313024520 is a wasteful number, since it uses less digits than its factorization.

12034313024520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841387 (or 841383 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12034313024520 its reverse (2542031343021), we get a palindrome (14576344367541).

The spelling of 12034313024520 in words is "twelve trillion, thirty-four billion, three hundred thirteen million, twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 911 1048 1310 1572 1822 1965 2620 2733 3144 3644 3930 4555 5240 5466 7288 7860 9110 10932 13665 15720 18220 21864 27330 36440 54660 109320 119341 238682 358023 477364 596705 716046 840331 954728 1193410 1432092 1680662 1790115 2386820 2520993 2864184 3361324 3580230 4201655 4773640 5041986 6722648 7160460 8403310 10083972 12604965 14320920 16806620 20167944 25209930 33613240 50419860 100839720 110083361 220166722 330250083 440333444 550416805 660500166 765541541 880666888 1100833610 1321000332 1531083082 1651250415 2201667220 2296624623 2642000664 3062166164 3302500830 3827707705 4403334440 4593249246 6124332328 6605001660 7655415410 9186498492 11483123115 13210003320 15310830820 18372996984 22966246230 30621661640 45932492460 91864984920 100285941871 200571883742 300857825613 401143767484 501429709355 601715651226 802287534968 1002859418710 1203431302452 1504289128065 2005718837420 2406862604904 3008578256130 4011437674840 6017156512260 12034313024520