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21131255305104 = 2437349118015079
BaseRepresentation
bin1001100111000000000001…
…11101110101001110010000
32202211010110111220021122020
410303200000331311032100
510232203302324230404
6112535321545211440
74310453130324630
oct463400075651620
982733414807566
1021131255305104
11680779580239a
122453466790b80
13ba3890540589
14530a887786c0
15269a14772ed9
hex133800f75390

21131255305104 has 80 divisors (see below), whose sum is σ = 62405390085120. Its totient is φ = 6035771733120.

The previous prime is 21131255305087. The next prime is 21131255305123. The reversal of 21131255305104 is 40150355213112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7834564 + ... + 10180515.

It is an arithmetic number, because the mean of its divisors is an integer number (780067376064).

Almost surely, 221131255305104 is an apocalyptic number.

21131255305104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21131255305104 is an abundant number, since it is smaller than the sum of its proper divisors (41274134780016).

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

21131255305104 is a wasteful number, since it uses less digits than its factorization.

21131255305104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018588 (or 18018582 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 21131255305104 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred fifty-five million, three hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3491 6982 10473 13964 20946 24437 27928 41892 48874 55856 73311 83784 97748 146622 167568 195496 293244 390992 586488 1172976 18015079 36030158 54045237 72060316 108090474 126105553 144120632 216180948 252211106 288241264 378316659 432361896 504422212 756633318 864723792 1008844424 1513266636 2017688848 3026533272 6053066544 62890640789 125781281578 188671922367 251562563156 377343844734 440234485523 503125126312 754687689468 880468971046 1006250252624 1320703456569 1509375378936 1760937942092 2641406913138 3018750757872 3521875884184 5282813826276 7043751768368 10565627652552 21131255305104