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21122210221020 = 2234520636320117
BaseRepresentation
bin1001100110101111001011…
…10101100100101111011100
32202210021010010222101220000
410303113211311210233130
510232031241304033040
6112531224233454300
74310013026352246
oct463274565445734
982707103871800
1021122210221020
116803974018897
122451761571390
13ba2a7b63660c
1453046b389096
1526968563d130
hex1335e5d64bdc

21122210221020 has 120 divisors (see below), whose sum is σ = 66293285091264. Its totient is φ = 5629858210944.

The previous prime is 21122210221003. The next prime is 21122210221027. The reversal of 21122210221020 is 2012201222112.

It is a happy number.

21122210221020 is a `hidden beast` number, since 211 + 2 + 2 + 210 + 221 + 0 + 20 = 666.

It is a super-2 number, since 2×211222102210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122210220984 and 21122210221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122210221027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182002 + ... + 6502118.

Almost surely, 221122210221020 is an apocalyptic number.

21122210221020 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 21122210221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33146642545632).

21122210221020 is an abundant number, since it is smaller than the sum of its proper divisors (45171074870244).

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

21122210221020 is a wasteful number, since it uses less digits than its factorization.

21122210221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322201 (or 6322190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122210221020 its reverse (2012201222112), we get a palindrome (23134411443132).

The spelling of 21122210221020 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2063 4126 6189 8252 10315 12378 18567 20630 24756 30945 37134 41260 55701 61890 74268 92835 111402 123780 167103 185670 222804 278505 334206 371340 557010 668412 835515 1114020 1671030 3342060 6320117 12640234 18960351 25280468 31600585 37920702 56881053 63201170 75841404 94801755 113762106 126402340 170643159 189603510 227524212 284405265 341286318 379207020 511929477 568810530 682572636 853215795 1023858954 1137621060 1706431590 2047717908 2559647385 3412863180 5119294770 10238589540 13038401371 26076802742 39115204113 52153605484 65192006855 78230408226 117345612339 130384013710 156460816452 195576020565 234691224678 260768027420 352036837017 391152041130 469382449356 586728061695 704073674034 782304082260 1056110511051 1173456123390 1408147348068 1760184185085 2112221022102 2346912246780 3520368370170 4224442044204 5280552555255 7040736740340 10561105110510 21122210221020