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20321300020 = 22578311291549
BaseRepresentation
bin10010111011001111…
…100110111000110100
31221110020010000000111
4102323033212320310
5313104223100040
613200243552404
71316403125440
oct227317467064
957406100014
1020321300020
11868893152a
123b3168b704
131bbb1227a8
14daac41820
157de085dea
hex4bb3e6e34

20321300020 has 96 divisors (see below), whose sum is σ = 49434336000. Its totient is φ = 6872822784.

The previous prime is 20321299931. The next prime is 20321300053. The reversal of 20321300020 is 2000312302.

It is a happy number.

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, 13118206 + ... + 13119754.

It is an arithmetic number, because the mean of its divisors is an integer number (514941000).

Almost surely, 220321300020 is an apocalyptic number.

20321300020 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 20321300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24717168000).

20321300020 is an abundant number, since it is smaller than the sum of its proper divisors (29113035980).

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

20321300020 is a wasteful number, since it uses less digits than its factorization.

20321300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20321300020 its reverse (2000312302), we get a palindrome (22321612322).

The spelling of 20321300020 in words is "twenty billion, three hundred twenty-one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1129 1162 1549 1660 2258 2324 2905 3098 4516 5645 5810 6196 7745 7903 10843 11290 11620 15490 15806 21686 22580 30980 31612 39515 43372 54215 79030 93707 108430 128567 158060 187414 216860 257134 374828 468535 514268 642835 655949 899969 937070 1285670 1311898 1748821 1799938 1874140 2571340 2623796 3279745 3497642 3599876 4499845 6559490 6995284 8744105 8999690 12241747 13118980 17488210 17999380 24483494 34976420 48966988 61208735 122417470 145152143 244834940 290304286 580608572 725760715 1016065001 1451521430 2032130002 2903042860 4064260004 5080325005 10160650010 20321300020