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21771331120 = 2457211504901
BaseRepresentation
bin10100010001101011…
…000010011000110000
32002012021121012202001
4110101223002120300
5324041430043440
614000203103344
71400341155400
oct242153023060
962167535661
1021771331120
119262392340
124277211b54
13208c66a866
1410a7658800
1587650eb9a
hex511ac2630

21771331120 has 120 divisors (see below), whose sum is σ = 64235652048. Its totient is φ = 6785856000.

The previous prime is 21771331097. The next prime is 21771331133. The reversal of 21771331120 is 2113317712.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209331 + ... + 295570.

Almost surely, 221771331120 is an apocalyptic number.

21771331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21771331120 is an abundant number, since it is smaller than the sum of its proper divisors (42464320928).

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

21771331120 is a wasteful number, since it uses less digits than its factorization.

21771331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504939 (or 504926 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 21771331120 its reverse (2113317712), we get a palindrome (23884648832).

The spelling of 21771331120 in words is "twenty-one billion, seven hundred seventy-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5390 6160 8624 10780 21560 43120 504901 1009802 2019604 2524505 3534307 4039208 5049010 5553911 7068614 8078416 10098020 11107822 14137228 17671535 20196040 22215644 24740149 27769555 28274456 35343070 38877377 40392080 44431288 49480298 55539110 56548912 70686140 77754754 88862576 98960596 111078220 123700745 141372280 155509508 194386885 197921192 222156440 247401490 272141639 282744560 311019016 388773770 395842384 444312880 494802980 544283278 622038032 777547540 989605960 1088566556 1360708195 1555095080 1979211920 2177133112 2721416390 3110190160 4354266224 5442832780 10885665560 21771331120