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21254424100 = 225271319122929
BaseRepresentation
bin10011110010110111…
…001100011000100100
32000212020221121121121
4103302313030120210
5322012113032400
613433020023324
71351463424010
oct236267143044
960766847547
1021254424100
119017628458
124152091b44
132009546110
141058b41540
15845e5721a
hex4f2dcc624

21254424100 has 144 divisors (see below), whose sum is σ = 59753814400. Its totient is φ = 6372587520.

The previous prime is 21254424089. The next prime is 21254424127. The reversal of 21254424100 is 142445212.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 111436 + ... + 234364.

Almost surely, 221254424100 is an apocalyptic number.

21254424100 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 21254424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29876907200).

21254424100 is an abundant number, since it is smaller than the sum of its proper divisors (38499390300).

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

21254424100 is a wasteful number, since it uses less digits than its factorization.

21254424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122982 (or 122975 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 21254424100 its reverse (142445212), we get a palindrome (21396869312).

The spelling of 21254424100 in words is "twenty-one billion, two hundred fifty-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 650 665 700 910 950 988 1235 1300 1330 1729 1820 1900 2275 2470 2660 3325 3458 4550 4940 6175 6650 6916 8645 9100 12350 13300 17290 24700 34580 43225 86450 122929 172900 245858 491716 614645 860503 1229290 1598077 1721006 2335651 2458580 3073225 3196154 3442012 4302515 4671302 6146450 6392308 7990385 8605030 9342604 11186539 11678255 12292900 15980770 16349557 17210060 21512575 22373078 23356510 30363463 31961540 32699114 39951925 43025150 44746156 46713020 55932695 58391275 60726926 65398228 79903850 81747785 86050300 111865390 116782550 121453852 151817315 159807700 163495570 212544241 223730780 233565100 279663475 303634630 326991140 408738925 425088482 559326950 607269260 759086575 817477850 850176964 1062721205 1118653900 1518173150 1634955700 2125442410 3036346300 4250884820 5313606025 10627212050 21254424100