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20324133142302 = 23114911123558479
BaseRepresentation
bin1001001111100000101001…
…01111000111111100011110
32122221222010210011012000010
410213300110233013330132
510130442311041023202
6111120440004144050
74165240652203563
oct447602457077436
978858123135003
1020324133142302
116526464345340
122342b53098026
13b45732b877b2
1450399c57686a
15253a2608576c
hex127c14bc7f1e

20324133142302 has 64 divisors (see below), whose sum is σ = 44473522728960. Its totient is φ = 6140800696800.

The previous prime is 20324133142297. The next prime is 20324133142319.

It is a happy number.

20324133142302 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20324133142302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36112699 + ... + 36671177.

It is an arithmetic number, because the mean of its divisors is an integer number (694898792640).

Almost surely, 220324133142302 is an apocalyptic number.

20324133142302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20324133142302 is an abundant number, since it is smaller than the sum of its proper divisors (24149389586658).

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

20324133142302 is a wasteful number, since it uses less digits than its factorization.

20324133142302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560109.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2032413 and 3142302, that added together give a palindrome (5174715).

The spelling of 20324133142302 in words is "twenty trillion, three hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 491 982 1123 1473 2246 2946 3369 5401 6738 10802 12353 16203 24706 32406 37059 74118 551393 558479 1102786 1116958 1654179 1675437 3308358 3350874 6065323 6143269 12130646 12286538 18195969 18429807 36391938 36859614 274213189 548426378 627171917 822639567 1254343834 1645279134 1881515751 3016345079 3763031502 6032690158 6898891087 9049035237 13797782174 18098070474 20696673261 41393346522 307941411247 615882822494 923824233741 1847648467482 3387355523717 6774711047434 10162066571151 20324133142302