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20021101020 = 22335283131011
BaseRepresentation
bin10010101001010110…
…011100000111011100
31220200022020022102000
4102221112130013130
5312000400213040
613110401402300
71306066356624
oct225126340734
956608208360
1020021101020
118544431588
123a69039390
131b70b8524b
14d7d019884
157c2a38130
hex4a959c1dc

20021101020 has 96 divisors (see below), whose sum is σ = 62508445440. Its totient is φ = 5320054080.

The previous prime is 20021101013. The next prime is 20021101033. The reversal of 20021101020 is 2010112002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20021100993 and 20021101011.

It is a congruent number.

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, 87315 + ... + 218325.

It is an arithmetic number, because the mean of its divisors is an integer number (651129640).

Almost surely, 220021101020 is an apocalyptic number.

20021101020 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 20021101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254222720).

20021101020 is an abundant number, since it is smaller than the sum of its proper divisors (42487344420).

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

20021101020 is a wasteful number, since it uses less digits than its factorization.

20021101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131312 (or 131304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20021101020 its reverse (2010112002), we get a palindrome (22031213022).

The spelling of 20021101020 in words is "twenty billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 283 540 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 7641 8490 10188 12735 15282 16980 25470 30564 38205 50940 76410 131011 152820 262022 393033 524044 655055 786066 1179099 1310110 1572132 1965165 2358198 2620220 3537297 3930330 4716396 5895495 7074594 7860660 11790990 14149188 17686485 23581980 35372970 37076113 70745940 74152226 111228339 148304452 185380565 222456678 333685017 370761130 444913356 556141695 667370034 741522260 1001055051 1112283390 1334740068 1668425085 2002110102 2224566780 3336850170 4004220204 5005275255 6673700340 10010550510 20021101020