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21013754112 = 283213701581
BaseRepresentation
bin10011100100100001…
…000111000100000000
32000020111002022110100
4103210201013010000
5321014010112422
613353101402400
71342511651151
oct234441070400
960214068410
1021013754112
118a0379753a
1240a5569400
131c9b71c340
141034bb3928
1582ec677ac
hex4e4847100

21013754112 has 108 divisors (see below), whose sum is σ = 65248529164. Its totient is φ = 6465761280.

The previous prime is 21013754059. The next prime is 21013754117. The reversal of 21013754112 is 21145731012.

21013754112 is a `hidden beast` number, since 2 + 101 + 3 + 7 + 541 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12974121216 + 8039632896 = 113904^2 + 89664^2 .

It is not an unprimeable number, because it can be changed into a prime (21013754117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320839 + ... + 380742.

Almost surely, 221013754112 is an apocalyptic number.

It is an amenable number.

21013754112 is an abundant number, since it is smaller than the sum of its proper divisors (44234775052).

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

21013754112 is a wasteful number, since it uses less digits than its factorization.

21013754112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701616 (or 701599 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 21013754112 in words is "twenty-one billion, thirteen million, seven hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 701581 1403162 2104743 2806324 4209486 5612648 6314229 8418972 9120553 11225296 12628458 16837944 18241106 22450592 25256916 27361659 33675888 36482212 44901184 50513832 54723318 67351776 72964424 82084977 89802368 101027664 109446636 134703552 145928848 164169954 179604736 202055328 218893272 269407104 291857696 328339908 404110656 437786544 538814208 583715392 656679816 808221312 875573088 1167430784 1313359632 1616442624 1751146176 2334861568 2626719264 3502292352 5253438528 7004584704 10506877056 21013754112