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20321100 = 22325267337
BaseRepresentation
bin100110110000…
…1001101001100
31102020102022100
41031201031030
520200233400
62003315100
7334504122
oct115411514
942212270
1020321100
111051a5a8
12697ba90
134296627
1429ad912
151bb6100
hex136134c

20321100 has 108 divisors (see below), whose sum is σ = 64837864. Its totient is φ = 5322240.

The previous prime is 20321087. The next prime is 20321131. The reversal of 20321100 is 112302.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60132 + ... + 60468.

Almost surely, 220321100 is an apocalyptic number.

20321100 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 20321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32418932).

20321100 is an abundant number, since it is smaller than the sum of its proper divisors (44516764).

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

20321100 is a wasteful number, since it uses less digits than its factorization.

20321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20321100 is about 4507.8930777027. The cubic root of 20321100 is about 272.8867219119.

Adding to 20321100 its reverse (112302), we get a palindrome (20433402).

The spelling of 20321100 in words is "twenty million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 337 402 450 603 670 674 804 900 1005 1011 1206 1340 1348 1675 1685 2010 2022 2412 3015 3033 3350 3370 4020 4044 5025 5055 6030 6066 6700 6740 8425 10050 10110 12060 12132 15075 15165 16850 20100 20220 22579 25275 30150 30330 33700 45158 50550 60300 60660 67737 75825 90316 101100 112895 135474 151650 203211 225790 270948 303300 338685 406422 451580 564475 677370 812844 1016055 1128950 1354740 1693425 2032110 2257900 3386850 4064220 5080275 6773700 10160550 20321100