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20021112300 = 22352716757089
BaseRepresentation
bin10010101001010110…
…011110110111101100
31220200022020212212210
4102221112132313230
5312000401043200
613110401530420
71306066434540
oct225126366754
956608225783
1020021112300
11854443a002
123a69043a10
131b70b8a417
14d7d01da20
157c2a3b650
hex4a959edec

20021112300 has 144 divisors (see below), whose sum is σ = 66600737280. Its totient is φ = 4548771840.

The previous prime is 20021112299. The next prime is 20021112317. The reversal of 20021112300 is 321112002.

It is a super-2 number, since 2×200211123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 322156 + ... + 379244.

It is an arithmetic number, because the mean of its divisors is an integer number (462505120).

Almost surely, 220021112300 is an apocalyptic number.

20021112300 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 20021112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300368640).

20021112300 is an abundant number, since it is smaller than the sum of its proper divisors (46579624980).

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

20021112300 is a wasteful number, since it uses less digits than its factorization.

20021112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57280 (or 57273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20021112300 its reverse (321112002), we get a palindrome (20342224302).

The spelling of 20021112300 in words is "twenty billion, twenty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 167 175 210 300 334 350 420 501 525 668 700 835 1002 1050 1169 1670 2004 2100 2338 2505 3340 3507 4175 4676 5010 5845 7014 8350 10020 11690 12525 14028 16700 17535 23380 25050 29225 35070 50100 57089 58450 70140 87675 114178 116900 171267 175350 228356 285445 342534 350700 399623 570890 685068 799246 856335 1141780 1198869 1427225 1598492 1712670 1998115 2397738 2854450 3425340 3996230 4281675 4795476 5708900 5994345 7992460 8563350 9533863 9990575 11988690 17126700 19067726 19981150 23977380 28601589 29971725 38135452 39962300 47669315 57203178 59943450 66737041 95338630 114406356 119886900 133474082 143007945 190677260 200211123 238346575 266948164 286015890 333685205 400422246 476693150 572031780 667370410 715039725 800844492 953386300 1001055615 1334740820 1430079450 1668426025 2002111230 2860158900 3336852050 4004222460 5005278075 6673704100 10010556150 20021112300