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20021221121022 = 23311401566914827
BaseRepresentation
bin1001000110101100011011…
…10001011101101111111110
32121220000021022202011001000
410203112031301131233332
510111011430101333042
6110325342204231130
74134325344412242
oct443261561355776
977800238664030
1020021221121022
116419a52409390
1222b42b653b4a6
13b22cba969594
144d30647b0422
1524abe7e1074c
hex12358dc5dbfe

20021221121022 has 128 divisors (see below), whose sum is σ = 48669197068800. Its totient is φ = 6050431296000.

The previous prime is 20021221121009. The next prime is 20021221121063. The reversal of 20021221121022 is 22012112212002.

It is a happy number.

20021221121022 is a `hidden beast` number, since 200 + 21 + 2 + 211 + 210 + 22 = 666.

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 = 20021221120986 and 20021221121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350314373 + ... + 1350329199.

It is an arithmetic number, because the mean of its divisors is an integer number (380228102100).

Almost surely, 220021221121022 is an apocalyptic number.

20021221121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021221121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334598534400).

20021221121022 is an abundant number, since it is smaller than the sum of its proper divisors (28647975947778).

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

20021221121022 is a wasteful number, since it uses less digits than its factorization.

20021221121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20919 (or 20913 counting only the distinct ones).

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

Adding to 20021221121022 its reverse (22012112212002), we get a palindrome (42033333333024).

The spelling of 20021221121022 in words is "twenty trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 401 594 802 1203 2406 3609 4411 5669 7218 8822 10827 11338 13233 14827 17007 21654 26466 29654 34014 39699 44481 51021 62359 79398 88962 102042 119097 124718 133443 153063 163097 187077 238194 266886 306126 326194 374154 400329 489291 561231 800658 978582 1122462 1467873 1683693 2273269 2935746 3367386 4403619 4546538 5945627 6819807 8807238 11891254 13639614 17836881 20459421 25005959 35673762 40918842 50011918 53510643 61378263 65401897 75017877 84054263 107021286 122756526 130803794 150035754 160531929 168108526 196205691 225053631 252162789 321063858 392411382 450107262 504325578 588617073 675160893 756488367 924596893 1177234146 1350321786 1512976734 1765851219 1849193786 2269465101 2773790679 3531702438 4538930202 5547581358 8321372037 16642744074 24964116111 33705759463 49928232222 67411518926 101117278389 202234556778 303351835167 370763354093 606703670334 741526708186 910055505501 1112290062279 1820111011002 2224580124558 3336870186837 6673740373674 10010610560511 20021221121022