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20021121000100 = 22521159725342533
BaseRepresentation
bin1001000110101100001111…
…10011100010001010100100
32121220000000100100110221201
410203112013303202022210
510111011223434000400
6110325324230252244
74134323020404433
oct443260763421244
977800010313851
1020021121000100
116419a00945020
1222b4288ab7084
13b22ca2cb2a2c
144d305538b11a
1524abde23506a
hex123587ce22a4

20021121000100 has 144 divisors (see below), whose sum is σ = 48206545208640. Its totient is φ = 7155855884800.

The previous prime is 20021121000091. The next prime is 20021121000131. The reversal of 20021121000100 is 100012112002.

It is a super-2 number, since 2×200211210001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470698434 + ... + 470740966.

It is an arithmetic number, because the mean of its divisors is an integer number (334767675060).

Almost surely, 220021121000100 is an apocalyptic number.

20021121000100 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 20021121000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24103272604320).

20021121000100 is an abundant number, since it is smaller than the sum of its proper divisors (28185424208540).

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

20021121000100 is a wasteful number, since it uses less digits than its factorization.

20021121000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49870 (or 49863 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20021121000100 its reverse (100012112002), we get a palindrome (20121133112102).

It can be divided in two parts, 20021 and 121000100, that added together give a palindrome (121020121).

The spelling of 20021121000100 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 7253 12980 14506 16225 29012 32450 36265 42533 64900 72530 79783 85066 145060 159566 170132 181325 212665 319132 362650 398915 425330 427927 467863 725300 797830 850660 855854 935726 1063325 1595660 1711708 1871452 1994575 2126650 2139635 2339315 2509447 3989150 4253300 4279270 4678630 4707197 5018894 7978300 8558540 9357260 9414394 10037788 10698175 11696575 12547235 18828788 21396350 23393150 23535985 25094470 27603917 42792700 46786300 47071970 50188940 55207834 62736175 94143940 110415668 117679925 125472350 138019585 235359850 250944700 276039170 308491849 470719700 552078340 616983698 690097925 1233967396 1380195850 1542459245 2760391700 3084918490 3393410339 6169836980 6786820678 7712296225 13573641356 15424592450 16967051695 18201019091 30849184900 33934103390 36402038182 67868206780 72804076364 84835258475 91005095455 169670516950 182010190910 200211210001 339341033900 364020381820 400422420002 455025477275 800844840004 910050954550 1001056050005 1820101909100 2002112100010 4004224200020 5005280250025 10010560500050 20021121000100