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21203403120 = 24325229128599
BaseRepresentation
bin10011101111110100…
…100100000101110000
32000201200221110222200
4103233310210011300
5321411032344440
613423554303200
71350303644544
oct235764440560
960650843880
1021203403120
118aa084a659
124138b87b00
131ccbac10a3
14105205da24
15841729c30
hex4efd24170

21203403120 has 120 divisors (see below), whose sum is σ = 71519604000. Its totient is φ = 5629506048.

The previous prime is 21203403097. The next prime is 21203403127. The reversal of 21203403120 is 2130430212.

21203403120 is a `hidden beast` number, since 2 + 12 + 0 + 340 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21203403093 and 21203403102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21203403127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100581 + ... + 229179.

It is an arithmetic number, because the mean of its divisors is an integer number (595996700).

Almost surely, 221203403120 is an apocalyptic number.

21203403120 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 21203403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35759802000).

21203403120 is an abundant number, since it is smaller than the sum of its proper divisors (50316200880).

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

21203403120 is a wasteful number, since it uses less digits than its factorization.

21203403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128847 (or 128838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21203403120 its reverse (2130430212), we get a palindrome (23333833332).

The spelling of 21203403120 in words is "twenty-one billion, two hundred three million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 229 240 360 458 687 720 916 1145 1374 1832 2061 2290 2748 3435 3664 4122 4580 5496 6870 8244 9160 10305 10992 13740 16488 18320 20610 27480 32976 41220 54960 82440 128599 164880 257198 385797 514396 642995 771594 1028792 1157391 1285990 1543188 1928985 2057584 2314782 2571980 3086376 3857970 4629564 5143960 5786955 6172752 7715940 9259128 10287920 11573910 15431880 18518256 23147820 29449171 30863760 46295640 58898342 88347513 92591280 117796684 147245855 176695026 235593368 265042539 294491710 353390052 441737565 471186736 530085078 588983420 706780104 883475130 1060170156 1177966840 1325212695 1413560208 1766950260 2120340312 2355933680 2650425390 3533900520 4240680624 5300850780 7067801040 10601701560 21203403120