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20320100220 = 22357227213133
BaseRepresentation
bin10010111011001011…
…000001111101111100
31221110010212001012110
4102323023001331330
5313103421201340
613200202134020
71316360000460
oct227313017574
957403761173
1020320100220
118688192062
123b311b1310
131bbaac2654
14daaa0c4a0
157dddea680
hex4bb2c1f7c

20320100220 has 96 divisors (see below), whose sum is σ = 65311077888. Its totient is φ = 4624111872.

The previous prime is 20320100173. The next prime is 20320100231. The reversal of 20320100220 is 2200102302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20320100196 and 20320100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11227 + ... + 201906.

It is an arithmetic number, because the mean of its divisors is an integer number (680323728).

Almost surely, 220320100220 is an apocalyptic number.

20320100220 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 20320100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32655538944).

20320100220 is an abundant number, since it is smaller than the sum of its proper divisors (44990977668).

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

20320100220 is a wasteful number, since it uses less digits than its factorization.

20320100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213379 (or 213377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20320100220 its reverse (2200102302), we get a palindrome (22520202522).

The spelling of 20320100220 in words is "twenty billion, three hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 227 420 454 681 908 1135 1362 1589 2270 2724 3178 3405 4540 4767 6356 6810 7945 9534 13620 15890 19068 23835 31780 47670 95340 213133 426266 639399 852532 1065665 1278798 1491931 2131330 2557596 2983862 3196995 4262660 4475793 5967724 6393990 7459655 8951586 12787980 14919310 17903172 22378965 29838620 44757930 48381191 89515860 96762382 145143573 193524764 241905955 290287146 338668337 483811910 580574292 677336674 725717865 967623820 1016005011 1354673348 1451435730 1693341685 2032010022 2902871460 3386683370 4064020044 5080025055 6773366740 10160050110 20320100220