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22113212121 = 32711132434391
BaseRepresentation
bin10100100110000011…
…001101011011011001
32010002002220120022100
4110212003031123121
5330241440241441
614054134514013
71411662126120
oct244603153331
963062816270
1022113212121
119418371620
124351805909
132115440400
1410dac10ab7
15896542cb6
hex5260cd6d9

22113212121 has 144 divisors (see below), whose sum is σ = 44134751232. Its totient is φ = 10354780800.

The previous prime is 22113212119. The next prime is 22113212129. The reversal of 22113212121 is 12121231122.

22113212121 is a `hidden beast` number, since 221 + 1 + 321 + 2 + 121 = 666.

It is not a de Polignac number, because 22113212121 - 21 = 22113212119 is a prime.

22113212121 is a modest number, since divided by 212121 gives 22113 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22113212094 and 22113212103.

It is not an unprimeable number, because it can be changed into a prime (22113212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5033836 + ... + 5038226.

It is an arithmetic number, because the mean of its divisors is an integer number (306491328).

Almost surely, 222113212121 is an apocalyptic number.

22113212121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22113212121 is a deficient number, since it is larger than the sum of its proper divisors (22021539111).

22113212121 is a wasteful number, since it uses less digits than its factorization.

22113212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4468 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22113212121 its reverse (12121231122), we get a palindrome (34234443243).

The spelling of 22113212121 in words is "twenty-two billion, one hundred thirteen million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 43 63 77 91 99 117 129 143 169 231 273 301 387 429 473 507 559 693 819 903 1001 1183 1287 1419 1521 1677 1859 2709 3003 3311 3549 3913 4257 4391 5031 5577 6149 7267 9009 9933 10647 11739 13013 13173 16731 18447 21801 29799 30737 35217 39039 39519 43043 48301 50869 55341 57083 65403 79937 92211 117117 129129 144903 152607 171249 188813 239811 276633 338107 387387 399581 434709 457821 513747 559559 566439 627913 719433 742079 1014321 1198743 1321691 1678677 1699317 1883739 2076943 2226237 2454569 3042963 3596229 3965073 4395391 5036031 5194553 5651217 6230829 6678711 7363707 8162869 11895219 13186173 14538601 15583659 17181983 18692487 22091121 24488607 27000259 31909397 39558519 43615803 46750977 51545949 57140083 73465821 81000777 95728191 130847409 154637847 171420249 189001813 223365779 243002331 287184573 351003367 514260747 567005439 670097337 1053010101 1701016317 2010292011 2457023569 3159030303 7371070707 22113212121