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1021220210220 = 223572388989317
BaseRepresentation
bin11101101110001010111…
…01111100011000101100
310121121221120222210110220
432313011131330120230
5113212424333211340
62101050405131340
7133531534364100
oct16670535743054
93547846883426
101021220210220
11364108204a11
12145b046b9b50
13753ba6c2952
14375da7dd900
151b86e6b0ed0
hexedc577c62c

1021220210220 has 144 divisors (see below), whose sum is σ = 3327152663520. Its totient is φ = 233359128576.

The previous prime is 1021220210201. The next prime is 1021220210233. The reversal of 1021220210220 is 220120221201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021220210220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11389002 + ... + 11478318.

It is an arithmetic number, because the mean of its divisors is an integer number (23105226830).

Almost surely, 21021220210220 is an apocalyptic number.

1021220210220 is a gapful number since it is divisible by the number (10) 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 1021220210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663576331760).

1021220210220 is an abundant number, since it is smaller than the sum of its proper divisors (2305932453300).

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

1021220210220 is a wasteful number, since it uses less digits than its factorization.

1021220210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93232 (or 93223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1021220210220 its reverse (220120221201), we get a palindrome (1241340431421).

The spelling of 1021220210220 in words is "one trillion, twenty-one billion, two hundred twenty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3889 7778 11667 15556 19445 23334 27223 38890 46668 54446 58335 77780 81669 89317 108892 116670 136115 163338 178634 190561 233340 267951 272230 326676 357268 381122 408345 446585 535902 544460 571683 625219 762244 816690 893170 952805 1071804 1143366 1250438 1339755 1633380 1786340 1875657 1905610 2286732 2500876 2679510 2858415 3126095 3751314 3811220 4376533 5359020 5716830 6252190 7502628 8753066 9378285 11433660 12504380 13129599 17506132 18756570 21882665 26259198 37513140 43765330 52518396 65647995 87530660 131295990 262591980 347353813 694707626 1042061439 1389415252 1736769065 2084122878 2431476691 3473538130 4168245756 4862953382 5210307195 6947076260 7294430073 9725906764 10420614390 12157383455 14588860146 17020336837 20841228780 24314766910 29177720292 34040673674 36472150365 48629533820 51061010511 68081347348 72944300730 85101684185 102122021022 145888601460 170203368370 204244042044 255305052555 340406736740 510610105110 1021220210220