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21123332120 = 23511715631201
BaseRepresentation
bin10011101011000011…
…000111100000011000
32000112010021110020002
4103223003013200120
5321230033111440
613412014152132
71345312234442
oct235303074030
960463243202
1021123332120
118a5a630080
1241161b2648
131cb83375b7
141045579492
158396b0115
hex4eb0c7818

21123332120 has 128 divisors (see below), whose sum is σ = 52715681280. Its totient is φ = 7553280000.

The previous prime is 21123332119. The next prime is 21123332149. The reversal of 21123332120 is 2123332112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21123332092 and 21123332101.

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, 17587520 + ... + 17588720.

It is an arithmetic number, because the mean of its divisors is an integer number (411841260).

Almost surely, 221123332120 is an apocalyptic number.

21123332120 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 21123332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357840640).

21123332120 is an abundant number, since it is smaller than the sum of its proper divisors (31592349160).

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

21123332120 is a wasteful number, since it uses less digits than its factorization.

21123332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21123332120 its reverse (2123332112), we get a palindrome (23246664232).

The spelling of 21123332120 in words is "twenty-one billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 563 568 710 781 1126 1201 1420 1562 2252 2402 2815 2840 3124 3905 4504 4804 5630 6005 6193 6248 7810 9608 11260 12010 12386 13211 15620 22520 24020 24772 26422 30965 31240 39973 48040 49544 52844 61930 66055 79946 85271 105688 123860 132110 159892 170542 199865 247720 264220 319784 341084 399730 426355 439703 528440 676163 682168 799460 852710 879406 937981 1352326 1598920 1705420 1758812 1875962 2198515 2704652 3380815 3410840 3517624 3751924 4397030 4689905 5409304 6761630 7437793 7503848 8794060 9379810 13523260 14875586 17588120 18759620 27046520 29751172 37188965 37519240 48007573 59502344 74377930 96015146 148755860 192030292 240037865 297511720 384060584 480075730 528083303 960151460 1056166606 1920302920 2112333212 2640416515 4224666424 5280833030 10561666060 21123332120