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2201221121022 = 2337113313159793
BaseRepresentation
bin100000000010000011000…
…000001100001111111110
321210102201212212220121000
4200002003000030033332
5242031100101333042
64403121011551130
7315014211545460
oct40020300141776
97712655786530
102201221121022
11779594a34310
122b67405bb4a6
1312c760861461
147877abdc130
153c3d376074c
hex2008300c3fe

2201221121022 has 128 divisors (see below), whose sum is σ = 6100500280320. Its totient is φ = 571569592320.

The previous prime is 2201221121017. The next prime is 2201221121063. The reversal of 2201221121022 is 2201211221022.

It is a happy number.

2201221121022 is a `hidden beast` number, since 220 + 1 + 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 = 2201221120986 and 2201221121004.

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, 13695558 + ... + 13855350.

It is an arithmetic number, because the mean of its divisors is an integer number (47660158440).

Almost surely, 22201221121022 is an apocalyptic number.

2201221121022 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 2201221121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050250140160).

2201221121022 is an abundant number, since it is smaller than the sum of its proper divisors (3899279159298).

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

2201221121022 is a wasteful number, since it uses less digits than its factorization.

2201221121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163135 (or 163129 counting only the distinct ones).

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

Adding to 2201221121022 its reverse (2201211221022), we get a palindrome (4402432342044).

The spelling of 2201221121022 in words is "two trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 3313 4158 6626 9939 19878 23191 29817 36443 46382 59634 69573 72886 89451 109329 139146 159793 178902 208719 218658 255101 319586 327987 417438 479379 510202 626157 655974 765303 958758 983961 1118551 1252314 1438137 1530606 1757723 1967922 2237102 2295909 2876274 3355653 3515446 4314411 4591818 5273169 6711306 6887727 8628822 10066959 10546338 12304061 13775454 15819507 20133918 24608122 30200877 31639014 36912183 47458521 60401754 73824366 94917042 110736549 221473098 332209647 529394209 664419294 1058788418 1588182627 3176365254 3705759463 4764547881 5823336299 7411518926 9529095762 11117278389 11646672598 14293643643 17470008897 22234556778 28587287286 33351835167 34940017794 40763354093 52410026691 66703670334 81526708186 100055505501 104820053382 122290062279 157230080073 200111011002 244580124558 314460160146 366870186837 733740373674 1100610560511 2201221121022