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20321323120 = 245732925537
BaseRepresentation
bin10010111011001111…
…101100100001110000
31221110020011011201001
4102323033230201300
5313104224314440
613200244251344
71316403253000
oct227317544160
957406134631
1020321323120
11868894791a
123b316a0b54
131bbb130167
14daac4a000
157de08cb9a
hex4bb3ec870

20321323120 has 160 divisors (see below), whose sum is σ = 57000816000. Its totient is φ = 6726795264.

The previous prime is 20321323117. The next prime is 20321323151. The reversal of 20321323120 is 2132312302.

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, 782992 + ... + 808528.

It is an arithmetic number, because the mean of its divisors is an integer number (356255100).

Almost surely, 220321323120 is an apocalyptic number.

20321323120 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 20321323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500408000).

20321323120 is an abundant number, since it is smaller than the sum of its proper divisors (36679492880).

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

20321323120 is a wasteful number, since it uses less digits than its factorization.

20321323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25600 (or 25580 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20321323120 its reverse (2132312302), we get a palindrome (22453635422).

The spelling of 20321323120 in words is "twenty billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 203 232 245 280 290 343 392 406 464 490 560 580 686 784 812 980 1015 1160 1372 1421 1624 1715 1960 2030 2320 2744 2842 3248 3430 3920 4060 5488 5684 6860 7105 8120 9947 11368 13720 14210 16240 19894 22736 25537 27440 28420 39788 49735 51074 56840 79576 99470 102148 113680 127685 159152 178759 198940 204296 255370 357518 397880 408592 510740 715036 740573 795760 893795 1021480 1251313 1430072 1481146 1787590 2042960 2502626 2860144 2962292 3575180 3702865 5005252 5184011 5924584 6256565 7150360 7405730 8759191 10010504 10368022 11849168 12513130 14300720 14811460 17518382 20021008 20736044 25026260 25920055 29622920 35036764 36288077 41472088 43795955 50052520 51840110 59245840 70073528 72576154 82944176 87591910 100105040 103680220 140147056 145152308 175183820 181440385 207360440 254016539 290304616 350367640 362880770 414720880 508033078 580609232 700735280 725761540 1016066156 1270082695 1451523080 2032132312 2540165390 2903046160 4064264624 5080330780 10160661560 20321323120