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21245103560 = 23547101127881
BaseRepresentation
bin10011110010010011…
…101000110111001000
32000211121102002020102
4103302103220313020
5322002221303220
613432044144532
71351321254302
oct236223506710
960747362212
1021245103560
11901234182a
12414ab38148
1320076318c5
1410577d6972
15845215775
hex4f24e8dc8

21245103560 has 128 divisors (see below), whose sum is σ = 49746493440. Its totient is φ = 8160768000.

The previous prime is 21245103547. The next prime is 21245103571. The reversal of 21245103560 is 6530154212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24114320 + ... + 24115200.

It is an arithmetic number, because the mean of its divisors is an integer number (388644480).

Almost surely, 221245103560 is an apocalyptic number.

21245103560 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 21245103560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873246720).

21245103560 is an abundant number, since it is smaller than the sum of its proper divisors (28501389880).

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

21245103560 is a wasteful number, since it uses less digits than its factorization.

21245103560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 21245103560 its reverse (6530154212), we get a palindrome (27775257772).

The spelling of 21245103560 in words is "twenty-one billion, two hundred forty-five million, one hundred three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 101 127 188 202 235 254 376 404 470 505 508 635 808 881 940 1010 1016 1270 1762 1880 2020 2540 3524 4040 4405 4747 5080 5969 7048 8810 9494 11938 12827 17620 18988 23735 23876 25654 29845 35240 37976 41407 47470 47752 51308 59690 64135 82814 88981 94940 102616 111887 119380 128270 165628 177962 189880 207035 223774 238760 256540 331256 355924 414070 444905 447548 513080 559435 602869 711848 828140 889810 895096 1118870 1205738 1656280 1779620 2237740 2411476 3014345 3559240 4182107 4475480 4822952 5258689 6028690 8364214 10517378 11300587 12057380 16728428 20910535 21034756 22601174 24114760 26293445 33456856 41821070 42069512 45202348 52586890 56502935 83642140 90404696 105173780 113005870 167284280 210347560 226011740 452023480 531127589 1062255178 2124510356 2655637945 4249020712 5311275890 10622551780 21245103560