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22101121000020 = 2235432439453797
BaseRepresentation
bin1010000011001110100010…
…11101110110001001010100
32220020211212010022101210210
411001213101131312021110
510344101043434000040
6115001040445045420
74440516244604046
oct501472135661124
986224763271723
1022101121000020
11705103a6a1917
12258b418856870
13c4418567bb5a
145659b29b5a96
15284d7a6d1480
hex1419d1776254

22101121000020 has 144 divisors (see below), whose sum is σ = 63500208266880. Its totient is φ = 5743445476608.

The previous prime is 22101120999989. The next prime is 22101121000061. The reversal of 22101121000020 is 2000012110122.

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

It is a congruent number.

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, 48475762 + ... + 48929558.

It is an arithmetic number, because the mean of its divisors is an integer number (440973668520).

Almost surely, 222101121000020 is an apocalyptic number.

22101121000020 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 22101121000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750104133440).

22101121000020 is an abundant number, since it is smaller than the sum of its proper divisors (41399087266860).

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

22101121000020 is a wasteful number, since it uses less digits than its factorization.

22101121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454334 (or 454289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22101121000020 its reverse (2000012110122), we get a palindrome (24101133110142).

The spelling of 22101121000020 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 439 516 645 860 878 1290 1317 1756 1849 2195 2580 2634 3698 4390 5268 5547 6585 7396 8780 9245 11094 13170 18490 18877 22188 26340 27735 36980 37754 55470 56631 75508 94385 110940 113262 188770 226524 283155 377540 453797 566310 811711 907594 1132620 1361391 1623422 1815188 2268985 2435133 2722782 3246844 4058555 4537970 4870266 5445564 6806955 8117110 9075940 9740532 12175665 13613910 16234220 19513271 24351330 27227820 39026542 48702660 58539813 78053084 97566355 117079626 195132710 199216883 234159252 292699065 390265420 398433766 585398130 597650649 796867532 839070653 996084415 1170796260 1195301298 1678141306 1992168830 2390602596 2517211959 2988253245 3356282612 3984337660 4195353265 5034423918 5976506490 8390706530 8566325969 10068847836 11953012980 12586059795 16781413060 17132651938 25172119590 25698977907 34265303876 42831629845 50344239180 51397955814 85663259690 102795911628 128494889535 171326519380 256989779070 368352016667 513979558140 736704033334 1105056050001 1473408066668 1841760083335 2210112100002 3683520166670 4420224200004 5525280250005 7367040333340 11050560500010 22101121000020