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21343331124320 = 255679772037853
BaseRepresentation
bin1001101101001011000011…
…01010111000010001100000
32210120101212102222010220012
410312211201222320101200
510244142120231434240
6113220554014104052
74332001433126642
oct466454152702140
983511772863805
1021343331124320
116889724000277
1224885924ab028
13bba88a61c6ba
1453b046572892
152702c7e42b65
hex136961ab8460

21343331124320 has 96 divisors (see below), whose sum is σ = 51228617233248. Its totient is φ = 8401297563648.

The previous prime is 21343331124317. The next prime is 21343331124343. The reversal of 21343331124320 is 2342113334312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 9454514 + ... + 11492366.

It is an arithmetic number, because the mean of its divisors is an integer number (533631429513).

Almost surely, 221343331124320 is an apocalyptic number.

21343331124320 is a gapful number since it is divisible by the number (20) 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 21343331124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25614308616624).

21343331124320 is an abundant number, since it is smaller than the sum of its proper divisors (29885286108928).

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

21343331124320 is a wasteful number, since it uses less digits than its factorization.

21343331124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038912 (or 2038904 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 21343331124320 its reverse (2342113334312), we get a palindrome (23685444458632).

The spelling of 21343331124320 in words is "twenty-one trillion, three hundred forty-three billion, three hundred thirty-one million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 977 1072 1340 1954 2144 2680 3908 4885 5360 7816 9770 10720 15632 19540 31264 39080 65459 78160 130918 156320 261836 327295 523672 654590 1047344 1309180 2037853 2094688 2618360 4075706 5236720 8151412 10189265 10473440 16302824 20378530 32605648 40757060 65211296 81514120 136536151 163028240 273072302 326056480 546144604 682680755 1092289208 1365361510 1990982381 2184578416 2730723020 3981964762 4369156832 5461446040 7963929524 9954911905 10922892080 15927859048 19909823810 21845784160 31855718096 39819647620 63711436192 79639295240 133395819527 159278590480 266791639054 318557180960 533583278108 666979097635 1067166556216 1333958195270 2134333112432 2667916390540 4268666224864 5335832781080 10671665562160 21343331124320