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221012222212221 = 31137472319125679
BaseRepresentation
bin110010010000001001101010…
…111111101111100001111101
31001222112120011202202200220220
4302100021222333233201331
5212432031012341242341
62102015340242331553
764360414620231306
oct6220115277574175
91058476152680826
10221012222212221
116446a836731210
1220955796059bb9
139642494a3658b
143c8109762b7ad
151a8407d6a2a66
hexc9026afef87d

221012222212221 has 96 divisors (see below), whose sum is σ = 337453778350080. Its totient is φ = 127508772124800.

The previous prime is 221012222212213. The next prime is 221012222212231. The reversal of 221012222212221 is 122212222210122.

It is a happy number.

It is not a de Polignac number, because 221012222212221 - 23 = 221012222212213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221012222212191 and 221012222212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012222212211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8606717260 + ... + 8606742938.

It is an arithmetic number, because the mean of its divisors is an integer number (3515143524480).

Almost surely, 2221012222212221 is an apocalyptic number.

It is an amenable number.

221012222212221 is a deficient number, since it is larger than the sum of its proper divisors (116441556137859).

221012222212221 is a wasteful number, since it uses less digits than its factorization.

221012222212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29015 (or 28968 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 221012222212221 its reverse (122212222210122), we get a palindrome (343224444422343).

The spelling of 221012222212221 in words is "two hundred twenty-one trillion, twelve billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 47 111 141 407 517 1221 1551 1739 2209 3191 5217 6627 9573 19129 24299 25679 35101 57387 72897 77037 81733 105303 118067 149977 245199 282469 354201 449931 847407 899063 950123 1206913 1298737 1649747 2697189 2850369 3620739 3896211 4949241 5549149 7048919 10451353 13276043 16647447 21146757 31354059 39828129 44655781 56724911 61040639 77538109 81941689 133967343 170174733 183121917 232614327 245825067 260810003 491213591 623974021 782430009 901358579 1473640773 1871922063 2098821707 2704075737 2868910033 3031842493 3851259383 6296465121 8606730099 9095527479 11553778149 23087038777 33350267423 42363853213 69261116331 100050802269 127091559639 142496597171 181009191001 427489791513 543027573003 1567462568881 1991101101011 4702387706643 5973303303033 6697340067037 20092020201111 73670740737407 221012222212221