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21133134102144 = 273186841294551
BaseRepresentation
bin1001100111000011100001…
…11100110111111010000000
32202211022022110012001122210
410303201300330313322000
510232221124312232034
6112540232222302120
74310550522665211
oct463416074677200
982738273161583
1021133134102144
11680856a296419
1224538aba27940
13ba3acc85c2bc
14530bc60c3408
15269ac46938e9
hex133870f37e80

21133134102144 has 64 divisors (see below), whose sum is σ = 56135378479680. Its totient is φ = 7044316416000.

The previous prime is 21133134102139. The next prime is 21133134102163. The reversal of 21133134102144 is 44120143133112.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71599669 + ... + 71894219.

It is an arithmetic number, because the mean of its divisors is an integer number (877115288745).

Almost surely, 221133134102144 is an apocalyptic number.

21133134102144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21133134102144 is an abundant number, since it is smaller than the sum of its proper divisors (35002244377536).

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

21133134102144 is a wasteful number, since it uses less digits than its factorization.

21133134102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481409 (or 481397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 21133134102144 its reverse (44120143133112), we get a palindrome (65253277235256).

The spelling of 21133134102144 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred thirty-four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 186841 294551 373682 560523 589102 747364 883653 1121046 1178204 1494728 1767306 2242092 2356408 2989456 3534612 4484184 4712816 5978912 7069224 8968368 9425632 11957824 14138448 17936736 18851264 23915648 28276896 35873472 37702528 56553792 71746944 113107584 55034203391 110068406782 165102610173 220136813564 330205220346 440273627128 660410440692 880547254256 1320820881384 1761094508512 2641641762768 3522189017024 5283283525536 7044378034048 10566567051072 21133134102144