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20021223300 = 223521313733739
BaseRepresentation
bin10010101001010110…
…111001111110000100
31220200022110112010220
4102221112321332010
5312000413121200
613110404144340
71306100406261
oct225126717604
956608415126
1020021223300
118544505441
123a690980b0
131b70bc8ac0
14d7d04c268
157c2a5e4a0
hex4a95b9f84

20021223300 has 144 divisors (see below), whose sum is σ = 62446211520. Its totient is φ = 4923394560.

The previous prime is 20021223293. The next prime is 20021223307. The reversal of 20021223300 is 332212002.

It is an interprime number because it is at equal distance from previous prime (20021223293) and next prime (20021223307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20021223300.

It is not an unprimeable number, because it can be changed into a prime (20021223307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5352831 + ... + 5356569.

Almost surely, 220021223300 is an apocalyptic number.

20021223300 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 20021223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31223105760).

20021223300 is an abundant number, since it is smaller than the sum of its proper divisors (42424988220).

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

20021223300 is a wasteful number, since it uses less digits than its factorization.

20021223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20021223300 its reverse (332212002), we get a palindrome (20353435302).

The spelling of 20021223300 in words is "twenty billion, twenty-one million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1373 1950 2746 3739 3900 4119 5492 6865 7478 8238 11217 13730 14956 16476 17849 18695 20595 22434 27460 34325 35698 37390 41190 44868 48607 53547 56085 68650 71396 74780 82380 89245 93475 97214 102975 107094 112170 137300 145821 178490 186950 194428 205950 214188 224340 243035 267735 280425 291642 356980 373900 411900 446225 486070 535470 560850 583284 729105 892450 972140 1070940 1121700 1215175 1338675 1458210 1784900 2430350 2677350 2916420 3645525 4860700 5133647 5354700 7291050 10267294 14582100 15400941 20534588 25668235 30801882 51336470 61603764 66737411 77004705 102672940 128341175 133474822 154009410 200212233 256682350 266949644 308018820 333687055 385023525 400424466 513364700 667374110 770047050 800848932 1001061165 1334748220 1540094100 1668435275 2002122330 3336870550 4004244660 5005305825 6673741100 10010611650 20021223300