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20332300221020 = 22517647174153089
BaseRepresentation
bin1001001111101111110111…
…00010000011101001011100
32122222202012221221202211002
410213313323202003221130
510131111022324033040
6111124310233045432
74165650232214654
oct447677342035134
978882187852732
1020332300221020
11652997545a477
122344652256878
13b46434bc9358
145041350d3364
15253d53085a15
hex127dfb883a5c

20332300221020 has 96 divisors (see below), whose sum is σ = 45306204128640. Its totient is φ = 7638148546560.

The previous prime is 20332300221007. The next prime is 20332300221113. The reversal of 20332300221020 is 2012200323302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20332300220983 and 20332300221001.

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, 382958636 + ... + 383011724.

It is an arithmetic number, because the mean of its divisors is an integer number (471939626340).

Almost surely, 220332300221020 is an apocalyptic number.

20332300221020 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 20332300221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22653102064320).

20332300221020 is an abundant number, since it is smaller than the sum of its proper divisors (24973903907620).

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

20332300221020 is a wasteful number, since it uses less digits than its factorization.

20332300221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55503 (or 55501 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20332300221020 its reverse (2012200323302), we get a palindrome (22344500544322).

The spelling of 20332300221020 in words is "twenty trillion, three hundred thirty-two billion, three hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 647 1294 1741 2588 3235 3482 6470 6964 8705 10999 12940 17410 21998 29597 34820 43996 53089 54995 59194 106178 109990 118388 147985 212356 219980 265445 295970 530890 591940 902513 1061780 1126427 1805026 2252854 3610052 4505708 4512565 5632135 9025130 11264270 18050260 19149259 22528540 34348583 38298518 68697166 76597036 92427949 95746295 137394332 171742915 184855898 191492590 343485830 369711796 382985180 462139745 583925911 686971660 924279490 1167851822 1571275133 1848558980 2335703644 2919629555 3142550266 5839259110 6285100532 7856375665 11678518220 15712751330 31425502660 59800883003 119601766006 239203532012 299004415015 598008830030 1016615011051 1196017660060 2033230022102 4066460044204 5083075055255 10166150110510 20332300221020