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21424321100 = 225271310722003
BaseRepresentation
bin10011111100111111…
…010011001001001100
32001022002122021111002
4103330333103021030
5322334111233400
613501525315432
71355625503360
oct237477231114
961262567432
1021424321100
1190a451a5a6
12419ab65b78
1320357c05a0
1410735292a0
15855d16ed5
hex4fcfd324c

21424321100 has 144 divisors (see below), whose sum is σ = 57756803328. Its totient is φ = 6716770560.

The previous prime is 21424321099. The next prime is 21424321201. The reversal of 21424321100 is 112342412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962699 + ... + 984701.

It is an arithmetic number, because the mean of its divisors is an integer number (401088912).

Almost surely, 221424321100 is an apocalyptic number.

21424321100 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 21424321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28878401664).

21424321100 is an abundant number, since it is smaller than the sum of its proper divisors (36332482228).

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

21424321100 is a wasteful number, since it uses less digits than its factorization.

21424321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22144 (or 22137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21424321100 its reverse (112342412), we get a palindrome (21536663512).

The spelling of 21424321100 in words is "twenty-one billion, four hundred twenty-four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 107 130 140 175 182 214 260 325 350 364 428 455 535 650 700 749 910 1070 1300 1391 1498 1820 2140 2275 2675 2782 2996 3745 4550 5350 5564 6955 7490 9100 9737 10700 13910 14980 18725 19474 22003 27820 34775 37450 38948 44006 48685 69550 74900 88012 97370 110015 139100 154021 194740 220030 243425 286039 308042 440060 486850 550075 572078 616084 770105 973700 1100150 1144156 1430195 1540210 2002273 2200300 2354321 2860390 3080420 3850525 4004546 4708642 5720780 7150975 7701050 8009092 9417284 10011365 11771605 14301950 15402100 16480247 20022730 23543210 28603900 30606173 32960494 40045460 47086420 50056825 58858025 61212346 65920988 82401235 100113650 117716050 122424692 153030865 164802470 200227300 214243211 235432100 306061730 329604940 412006175 428486422 612123460 765154325 824012350 856972844 1071216055 1530308650 1648024700 2142432110 3060617300 4284864220 5356080275 10712160550 21424321100