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220202121121101 = 327671014519114299
BaseRepresentation
bin110010000100010111001101…
…001101010100110101001101
31001212200010011102122100212100
4302010113031031110311031
5212330242421001333401
62100155242524425313
764245035560456110
oct6204271515246515
91055603142570770
10220202121121101
1164188216796229
12208447909a8239
1395b3c81166412
143c53ba794a577
151a6ce686d4b86
hexc845cd354d4d

220202121121101 has 96 divisors (see below), whose sum is σ = 372672278784000. Its totient is φ = 122696251286400.

The previous prime is 220202121121091. The next prime is 220202121121153. The reversal of 220202121121101 is 101121121202022.

220202121121101 is a `hidden beast` number, since 220 + 2 + 0 + 21 + 211 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 220202121121101 - 222 = 220202116926797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202121126101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1926487450 + ... + 1926601748.

It is an arithmetic number, because the mean of its divisors is an integer number (3882002904000).

Almost surely, 2220202121121101 is an apocalyptic number.

220202121121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220202121121101 is a deficient number, since it is larger than the sum of its proper divisors (152470157662899).

220202121121101 is a wasteful number, since it uses less digits than its factorization.

220202121121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118999 (or 118996 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220202121121101 its reverse (101121121202022), we get a palindrome (321323242323123).

The spelling of 220202121121101 in words is "two hundred twenty trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 63 67 101 201 303 469 603 707 909 1407 2121 4221 4519 6363 6767 13557 20301 31633 40671 47369 60903 94899 114299 142107 284697 302773 342897 426321 456419 800093 908319 1028691 1369257 2119411 2400279 2724957 3194933 4107771 6358233 7200837 7658033 9584799 11544199 19074699 22974099 28754397 30580073 34632597 53606231 68922297 80809393 91740219 103897791 160818693 214060511 242428179 275220657 482456079 516517181 642181533 727284537 773461333 1549551543 1926544599 2320383999 3615620267 4648654629 5414229331 6961151997 10846860801 16242687993 32540582403 34606651127 48728063979 52168235281 103819953381 156504705843 242246557889 311459860143 365177646967 469514117529 726739673667 1095532940901 2180219021001 3286598822703 3495271763827 10485815291481 24466902346789 31457445874443 73400707040367 220202121121101