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221000212021221 = 3329436619930269
BaseRepresentation
bin110010001111111110011111…
…001000011111111111100101
31001222111102011202110210011000
4302033332133020133333211
5212431331413234134341
62102010032410303513
764356511163261223
oct6217763710377745
91058442152423130
10221000212021221
1164465733249a26
12209533a3a27b99
1396412cc744299
143c80678519b13
151a83ac90bc8b6
hexc8ff9f21ffe5

221000212021221 has 64 divisors (see below), whose sum is σ = 347098685472000. Its totient is φ = 138734582595840.

The previous prime is 221000212021217. The next prime is 221000212021231. The reversal of 221000212021221 is 122120212000122.

It is a happy number.

221000212021221 is a `hidden beast` number, since 2 + 210 + 0 + 0 + 212 + 0 + 21 + 221 = 666.

It is not a de Polignac number, because 221000212021221 - 22 = 221000212021217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221000212021194 and 221000212021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000212021231) 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, 17290075 + ... + 27220343.

It is an arithmetic number, because the mean of its divisors is an integer number (5423416960500).

Almost surely, 2221000212021221 is an apocalyptic number.

It is an amenable number.

221000212021221 is a deficient number, since it is larger than the sum of its proper divisors (126098473450779).

221000212021221 is a wasteful number, since it uses less digits than its factorization.

221000212021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931011 (or 9931005 counting only the distinct ones).

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

Adding to 221000212021221 its reverse (122120212000122), we get a palindrome (343120424021343).

The spelling of 221000212021221 in words is "two hundred twenty-one trillion, two hundred twelve million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 43 87 129 261 387 661 783 1161 1247 1983 3741 5949 11223 17847 19169 28423 33669 57507 85269 172521 255807 517563 767421 824267 2472801 7418403 9930269 22255209 29790807 89372421 268117263 287977801 427001567 863933403 1281004701 2591800209 3843014103 6563907809 7775400627 11529042309 12383045443 19691723427 37149136329 59075170281 111447408987 177225510843 190353326461 282248035787 334342226961 571059979383 846744107361 1713179938149 2540232322083 5139539814447 7620696966249 8185193037823 24555579113469 73666737340407 221000212021221