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220132133320302 = 233723186911354663
BaseRepresentation
bin110010000011010110000001…
…100111000011011001101110
31001212102102111212020201011000
4302003112001213003121232
5212323121102112222202
62100103150031141130
764240010322125460
oct6203260147033156
91055372455221130
10220132133320302
1164160571476645
12208330ba0747a6
1395aa4a9400638
143c506487cc130
151a6b21e1d391c
hexc835819c366e

220132133320302 has 128 divisors (see below), whose sum is σ = 583404583403520. Its totient is φ = 60157071485280.

The previous prime is 220132133320261. The next prime is 220132133320321. The reversal of 220132133320302 is 203023331231022.

220132133320302 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 2 + 1 + 33 + 320 + 302 = 666.

It is a super-2 number, since 2×2201321333203022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 161822223 + ... + 163176885.

It is an arithmetic number, because the mean of its divisors is an integer number (4557848307840).

Almost surely, 2220132133320302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220132133320302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291702291701760).

220132133320302 is an abundant number, since it is smaller than the sum of its proper divisors (363272450083218).

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

220132133320302 is a wasteful number, since it uses less digits than its factorization.

220132133320302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373395 (or 1373389 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 220132133320302 its reverse (203023331231022), we get a palindrome (423155464551324).

The spelling of 220132133320302 in words is "two hundred twenty trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 18691 37382 56073 112146 130837 168219 261674 336438 392511 429893 504657 785022 859786 1009314 1177533 1289679 1354663 2355066 2579358 2709326 3009251 3532599 3869037 4063989 6018502 7065198 7738074 8127978 9027753 9482641 11607111 12191967 18055506 18965282 23214222 24383934 27083259 28447923 31157249 36575901 54166518 56895846 62314498 73151802 81249777 85343769 93471747 162499554 170687538 186943494 218100743 256031307 280415241 436201486 512062614 560830482 654302229 841245723 1308604458 1682491446 1962906687 3925813374 5888720061 11777440122 25320006133 50640012266 75960018399 151920036798 177240042931 227880055197 354480085862 455760110394 531720128793 582360141059 683640165591 1063440257586 1164720282118 1367280331182 1595160386379 1747080423177 3190320772758 3494160846354 4076520987413 4785481159137 5241241269531 8153041974826 9570962318274 10482482539062 12229562962239 15723723808593 24459125924478 31447447617186 36688688886717 73377377773434 110066066660151 220132133320302