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221120201112021 = 3331479817572567
BaseRepresentation
bin110010010001101110001111…
…000010100011100111010101
31001222220212220000010011001000
4302101232033002203213111
5212440313132441041041
62102141115033053513
764401256500566331
oct6221561702434725
91058825800104030
10221120201112021
1164501606a32882
12209726abb57299
13964c7125abcb3
143c863bc2227c1
151a86c9d11abb6
hexc91b8f0a39d5

221120201112021 has 64 divisors (see below), whose sum is σ = 345383278018560. Its totient is φ = 139608447143040.

The previous prime is 221120201111993. The next prime is 221120201112077. The reversal of 221120201112021 is 120211102021122.

221120201112021 is a `hidden beast` number, since 221 + 120 + 201 + 1 + 120 + 2 + 1 = 666.

221120201112021 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221120201112021 - 25 = 221120201111989 is a prime.

It is a super-2 number, since 2×2211202011120212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221120201111985 and 221120201112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120201119021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385904680 + ... + 386477246.

It is an arithmetic number, because the mean of its divisors is an integer number (5396613719040).

Almost surely, 2221120201112021 is an apocalyptic number.

It is an amenable number.

221120201112021 is a deficient number, since it is larger than the sum of its proper divisors (124263076906539).

221120201112021 is a wasteful number, since it uses less digits than its factorization.

221120201112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582471 (or 582465 counting only the distinct ones).

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

Adding to 221120201112021 its reverse (120211102021122), we get a palindrome (341331303133143).

The spelling of 221120201112021 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 9 27 31 47 93 141 279 423 837 1269 1457 4371 9817 13113 29451 39339 88353 265059 304327 461399 572567 912981 1384197 1717701 2738943 4152591 5153103 8216829 12457773 14303369 15459309 17749577 26910649 42910107 53248731 80731947 128730321 159746193 242195841 386190963 479238579 726587523 834230119 2502690357 5620890239 7508071071 16862670717 22524213213 50588012151 151764036453 174247597409 264181841233 522742792227 792545523699 1568228376681 2377636571097 4704685130043 7132909713291 8189637078223 24568911234669 73706733704007 221120201112021